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Finding the Third Proportional to 847,034 and 1,272,442

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Solution

The third proportional to 847,034 and 1,272,442 is: 1,911,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,034 : 1,272,442 = 1,272,442 : x
  2. Step 2: Convert to fraction form
    847,034/1,272,442 = 1,272,442/x
  3. Step 3: Cross multiply
    847,034x = 1,272,442 × 1,272,442
  4. Step 4: Simplify right side
    847,034x = 1,619,108,643,364
  5. Step 5: Solve for x
    x = 1,619,108,643,364/847,034
  6. Step 6: Final answer
    x = 1,911,503.72

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