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Finding the Third Proportional to 847,095.75 and 1,272,537

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Solution

The third proportional to 847,095.75 and 1,272,537 is: 1,911,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,095.75 : 1,272,537 = 1,272,537 : x
  2. Step 2: Convert to fraction form
    847,095.75/1,272,537 = 1,272,537/x
  3. Step 3: Cross multiply
    847,095.75x = 1,272,537 × 1,272,537
  4. Step 4: Simplify right side
    847,095.75x = 1,619,350,416,369
  5. Step 5: Solve for x
    x = 1,619,350,416,369/847,095.75
  6. Step 6: Final answer
    x = 1,911,649.79

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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.