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Finding the Third Proportional to 791,184 and 1,227,312

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Solution

The third proportional to 791,184 and 1,227,312 is: 1,903,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,184 : 1,227,312 = 1,227,312 : x
  2. Step 2: Convert to fraction form
    791,184/1,227,312 = 1,227,312/x
  3. Step 3: Cross multiply
    791,184x = 1,227,312 × 1,227,312
  4. Step 4: Simplify right side
    791,184x = 1,506,294,745,344
  5. Step 5: Solve for x
    x = 1,506,294,745,344/791,184
  6. Step 6: Final answer
    x = 1,903,848.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.