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Finding the Third Proportional to 494,937,362.25 and 1,075,001,310

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Solution

The third proportional to 494,937,362.25 and 1,075,001,310 is: 2,334,897,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,937,362.25 : 1,075,001,310 = 1,075,001,310 : x
  2. Step 2: Convert to fraction form
    494,937,362.25/1,075,001,310 = 1,075,001,310/x
  3. Step 3: Cross multiply
    494,937,362.25x = 1,075,001,310 × 1,075,001,310
  4. Step 4: Simplify right side
    494,937,362.25x = 1,155,627,816,501,716,224
  5. Step 5: Solve for x
    x = 1,155,627,816,501,716,224/494,937,362.25
  6. Step 6: Final answer
    x = 2,334,897,109.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.