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Finding the Third Proportional to 602,894 and 1,310,656

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Solution

The third proportional to 602,894 and 1,310,656 is: 2,849,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,894 : 1,310,656 = 1,310,656 : x
  2. Step 2: Convert to fraction form
    602,894/1,310,656 = 1,310,656/x
  3. Step 3: Cross multiply
    602,894x = 1,310,656 × 1,310,656
  4. Step 4: Simplify right side
    602,894x = 1,717,819,150,336
  5. Step 5: Solve for x
    x = 1,717,819,150,336/602,894
  6. Step 6: Final answer
    x = 2,849,288.85

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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.