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Finding the Third Proportional to 832,470 and 1,245,312

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Solution

The third proportional to 832,470 and 1,245,312 is: 1,862,892.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,470 : 1,245,312 = 1,245,312 : x
  2. Step 2: Convert to fraction form
    832,470/1,245,312 = 1,245,312/x
  3. Step 3: Cross multiply
    832,470x = 1,245,312 × 1,245,312
  4. Step 4: Simplify right side
    832,470x = 1,550,801,977,344
  5. Step 5: Solve for x
    x = 1,550,801,977,344/832,470
  6. Step 6: Final answer
    x = 1,862,892.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.