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Finding the Third Proportional to 762,744 and 1,035,901.50

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Solution

The third proportional to 762,744 and 1,035,901.50 is: 1,406,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,744 : 1,035,901.50 = 1,035,901.50 : x
  2. Step 2: Convert to fraction form
    762,744/1,035,901.50 = 1,035,901.50/x
  3. Step 3: Cross multiply
    762,744x = 1,035,901.50 × 1,035,901.50
  4. Step 4: Simplify right side
    762,744x = 1,073,091,917,702.25
  5. Step 5: Solve for x
    x = 1,073,091,917,702.25/762,744
  6. Step 6: Final answer
    x = 1,406,883.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.