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Finding the Third Proportional to 817,242 and 1,732,776

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Solution

The third proportional to 817,242 and 1,732,776 is: 3,673,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,242 : 1,732,776 = 1,732,776 : x
  2. Step 2: Convert to fraction form
    817,242/1,732,776 = 1,732,776/x
  3. Step 3: Cross multiply
    817,242x = 1,732,776 × 1,732,776
  4. Step 4: Simplify right side
    817,242x = 3,002,512,666,176
  5. Step 5: Solve for x
    x = 3,002,512,666,176/817,242
  6. Step 6: Final answer
    x = 3,673,957.86

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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.