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Finding the Third Proportional to 1,308,099 and 2,774,513

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Solution

The third proportional to 1,308,099 and 2,774,513 is: 5,884,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,099 : 2,774,513 = 2,774,513 : x
  2. Step 2: Convert to fraction form
    1,308,099/2,774,513 = 2,774,513/x
  3. Step 3: Cross multiply
    1,308,099x = 2,774,513 × 2,774,513
  4. Step 4: Simplify right side
    1,308,099x = 7,697,922,387,169
  5. Step 5: Solve for x
    x = 7,697,922,387,169/1,308,099
  6. Step 6: Final answer
    x = 5,884,816.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.