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Finding the Third Proportional to 463,663.13 and 977,140.13

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Solution

The third proportional to 463,663.13 and 977,140.13 is: 2,059,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,663.13 : 977,140.13 = 977,140.13 : x
  2. Step 2: Convert to fraction form
    463,663.13/977,140.13 = 977,140.13/x
  3. Step 3: Cross multiply
    463,663.13x = 977,140.13 × 977,140.13
  4. Step 4: Simplify right side
    463,663.13x = 954,802,823,885.02
  5. Step 5: Solve for x
    x = 954,802,823,885.02/463,663.13
  6. Step 6: Final answer
    x = 2,059,259.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.