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Finding the Third Proportional to 545,716 and 841,902

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Solution

The third proportional to 545,716 and 841,902 is: 1,298,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,716 : 841,902 = 841,902 : x
  2. Step 2: Convert to fraction form
    545,716/841,902 = 841,902/x
  3. Step 3: Cross multiply
    545,716x = 841,902 × 841,902
  4. Step 4: Simplify right side
    545,716x = 708,798,977,604
  5. Step 5: Solve for x
    x = 708,798,977,604/545,716
  6. Step 6: Final answer
    x = 1,298,842.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.