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Finding the Third Proportional to 652,870.13 and 924,630.19

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Solution

The third proportional to 652,870.13 and 924,630.19 is: 1,309,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,870.13 : 924,630.19 = 924,630.19 : x
  2. Step 2: Convert to fraction form
    652,870.13/924,630.19 = 924,630.19/x
  3. Step 3: Cross multiply
    652,870.13x = 924,630.19 × 924,630.19
  4. Step 4: Simplify right side
    652,870.13x = 854,940,983,636.29
  5. Step 5: Solve for x
    x = 854,940,983,636.29/652,870.13
  6. Step 6: Final answer
    x = 1,309,511.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.