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Finding the Third Proportional to 491,440,864 and 1,075,447,232

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Solution

The third proportional to 491,440,864 and 1,075,447,232 is: 2,353,460,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,440,864 : 1,075,447,232 = 1,075,447,232 : x
  2. Step 2: Convert to fraction form
    491,440,864/1,075,447,232 = 1,075,447,232/x
  3. Step 3: Cross multiply
    491,440,864x = 1,075,447,232 × 1,075,447,232
  4. Step 4: Simplify right side
    491,440,864x = 1,156,586,748,816,461,824
  5. Step 5: Solve for x
    x = 1,156,586,748,816,461,824/491,440,864
  6. Step 6: Final answer
    x = 2,353,460,677.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.