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Finding the Third Proportional to 765,480 and 1,126,074

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Solution

The third proportional to 765,480 and 1,126,074 is: 1,656,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,480 : 1,126,074 = 1,126,074 : x
  2. Step 2: Convert to fraction form
    765,480/1,126,074 = 1,126,074/x
  3. Step 3: Cross multiply
    765,480x = 1,126,074 × 1,126,074
  4. Step 4: Simplify right side
    765,480x = 1,268,042,653,476
  5. Step 5: Solve for x
    x = 1,268,042,653,476/765,480
  6. Step 6: Final answer
    x = 1,656,532.70

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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.