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Finding the Third Proportional to 802,641 and 1,206,877.50

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Solution

The third proportional to 802,641 and 1,206,877.50 is: 1,814,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,641 : 1,206,877.50 = 1,206,877.50 : x
  2. Step 2: Convert to fraction form
    802,641/1,206,877.50 = 1,206,877.50/x
  3. Step 3: Cross multiply
    802,641x = 1,206,877.50 × 1,206,877.50
  4. Step 4: Simplify right side
    802,641x = 1,456,553,300,006.25
  5. Step 5: Solve for x
    x = 1,456,553,300,006.25/802,641
  6. Step 6: Final answer
    x = 1,814,700.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.