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Finding the Third Proportional to 1,098,508.50 and 1,663,254

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Solution

The third proportional to 1,098,508.50 and 1,663,254 is: 2,518,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,508.50 : 1,663,254 = 1,663,254 : x
  2. Step 2: Convert to fraction form
    1,098,508.50/1,663,254 = 1,663,254/x
  3. Step 3: Cross multiply
    1,098,508.50x = 1,663,254 × 1,663,254
  4. Step 4: Simplify right side
    1,098,508.50x = 2,766,413,868,516
  5. Step 5: Solve for x
    x = 2,766,413,868,516/1,098,508.50
  6. Step 6: Final answer
    x = 2,518,336.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.