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Finding the Third Proportional to 765,736 and 1,126,490

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Solution

The third proportional to 765,736 and 1,126,490 is: 1,657,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,736 : 1,126,490 = 1,126,490 : x
  2. Step 2: Convert to fraction form
    765,736/1,126,490 = 1,126,490/x
  3. Step 3: Cross multiply
    765,736x = 1,126,490 × 1,126,490
  4. Step 4: Simplify right side
    765,736x = 1,268,979,720,100
  5. Step 5: Solve for x
    x = 1,268,979,720,100/765,736
  6. Step 6: Final answer
    x = 1,657,202.64

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Why These Related Problems?

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