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Finding the Third Proportional to 499,128 and 1,069,712

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Solution

The third proportional to 499,128 and 1,069,712 is: 2,292,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,128 : 1,069,712 = 1,069,712 : x
  2. Step 2: Convert to fraction form
    499,128/1,069,712 = 1,069,712/x
  3. Step 3: Cross multiply
    499,128x = 1,069,712 × 1,069,712
  4. Step 4: Simplify right side
    499,128x = 1,144,283,762,944
  5. Step 5: Solve for x
    x = 1,144,283,762,944/499,128
  6. Step 6: Final answer
    x = 2,292,565.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.