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Finding the Third Proportional to 765,695 and 1,126,429

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Solution

The third proportional to 765,695 and 1,126,429 is: 1,657,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,695 : 1,126,429 = 1,126,429 : x
  2. Step 2: Convert to fraction form
    765,695/1,126,429 = 1,126,429/x
  3. Step 3: Cross multiply
    765,695x = 1,126,429 × 1,126,429
  4. Step 4: Simplify right side
    765,695x = 1,268,842,292,041
  5. Step 5: Solve for x
    x = 1,268,842,292,041/765,695
  6. Step 6: Final answer
    x = 1,657,111.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.