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Finding the Third Proportional to 1,027,095.50 and 1,602,822

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Solution

The third proportional to 1,027,095.50 and 1,602,822 is: 2,501,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,095.50 : 1,602,822 = 1,602,822 : x
  2. Step 2: Convert to fraction form
    1,027,095.50/1,602,822 = 1,602,822/x
  3. Step 3: Cross multiply
    1,027,095.50x = 1,602,822 × 1,602,822
  4. Step 4: Simplify right side
    1,027,095.50x = 2,569,038,363,684
  5. Step 5: Solve for x
    x = 2,569,038,363,684/1,027,095.50
  6. Step 6: Final answer
    x = 2,501,265.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.