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Finding the Third Proportional to 592,488 and 1,155,417

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Solution

The third proportional to 592,488 and 1,155,417 is: 2,253,190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,488 : 1,155,417 = 1,155,417 : x
  2. Step 2: Convert to fraction form
    592,488/1,155,417 = 1,155,417/x
  3. Step 3: Cross multiply
    592,488x = 1,155,417 × 1,155,417
  4. Step 4: Simplify right side
    592,488x = 1,334,988,443,889
  5. Step 5: Solve for x
    x = 1,334,988,443,889/592,488
  6. Step 6: Final answer
    x = 2,253,190.69

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.