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Finding the Third Proportional to 768,374.25 and 1,127,649.94

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Solution

The third proportional to 768,374.25 and 1,127,649.94 is: 1,654,915.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,374.25 : 1,127,649.94 = 1,127,649.94 : x
  2. Step 2: Convert to fraction form
    768,374.25/1,127,649.94 = 1,127,649.94/x
  3. Step 3: Cross multiply
    768,374.25x = 1,127,649.94 × 1,127,649.94
  4. Step 4: Simplify right side
    768,374.25x = 1,271,594,381,543.75
  5. Step 5: Solve for x
    x = 1,271,594,381,543.75/768,374.25
  6. Step 6: Final answer
    x = 1,654,915.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.