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Finding the Third Proportional to 777,522 and 1,160,289

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Solution

The third proportional to 777,522 and 1,160,289 is: 1,731,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,522 : 1,160,289 = 1,160,289 : x
  2. Step 2: Convert to fraction form
    777,522/1,160,289 = 1,160,289/x
  3. Step 3: Cross multiply
    777,522x = 1,160,289 × 1,160,289
  4. Step 4: Simplify right side
    777,522x = 1,346,270,563,521
  5. Step 5: Solve for x
    x = 1,346,270,563,521/777,522
  6. Step 6: Final answer
    x = 1,731,488.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.