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Finding the Third Proportional to 763,542 and 1,658,316

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Solution

The third proportional to 763,542 and 1,658,316 is: 3,601,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,542 : 1,658,316 = 1,658,316 : x
  2. Step 2: Convert to fraction form
    763,542/1,658,316 = 1,658,316/x
  3. Step 3: Cross multiply
    763,542x = 1,658,316 × 1,658,316
  4. Step 4: Simplify right side
    763,542x = 2,750,011,955,856
  5. Step 5: Solve for x
    x = 2,750,011,955,856/763,542
  6. Step 6: Final answer
    x = 3,601,651.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.