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Finding the Third Proportional to 802,032 and 1,128,442.50

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Solution

The third proportional to 802,032 and 1,128,442.50 is: 1,587,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,032 : 1,128,442.50 = 1,128,442.50 : x
  2. Step 2: Convert to fraction form
    802,032/1,128,442.50 = 1,128,442.50/x
  3. Step 3: Cross multiply
    802,032x = 1,128,442.50 × 1,128,442.50
  4. Step 4: Simplify right side
    802,032x = 1,273,382,475,806.25
  5. Step 5: Solve for x
    x = 1,273,382,475,806.25/802,032
  6. Step 6: Final answer
    x = 1,587,695.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.