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Finding the Third Proportional to 612,796 and 915,486

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Solution

The third proportional to 612,796 and 915,486 is: 1,367,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,796 : 915,486 = 915,486 : x
  2. Step 2: Convert to fraction form
    612,796/915,486 = 915,486/x
  3. Step 3: Cross multiply
    612,796x = 915,486 × 915,486
  4. Step 4: Simplify right side
    612,796x = 838,114,616,196
  5. Step 5: Solve for x
    x = 838,114,616,196/612,796
  6. Step 6: Final answer
    x = 1,367,689.44

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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.