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Finding the Third Proportional to 791,357 and 1,610,681.50

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Solution

The third proportional to 791,357 and 1,610,681.50 is: 3,278,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,357 : 1,610,681.50 = 1,610,681.50 : x
  2. Step 2: Convert to fraction form
    791,357/1,610,681.50 = 1,610,681.50/x
  3. Step 3: Cross multiply
    791,357x = 1,610,681.50 × 1,610,681.50
  4. Step 4: Simplify right side
    791,357x = 2,594,294,894,442.25
  5. Step 5: Solve for x
    x = 2,594,294,894,442.25/791,357
  6. Step 6: Final answer
    x = 3,278,286.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.