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Finding the Third Proportional to 616,084 and 1,348,306

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Solution

The third proportional to 616,084 and 1,348,306 is: 2,950,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,084 : 1,348,306 = 1,348,306 : x
  2. Step 2: Convert to fraction form
    616,084/1,348,306 = 1,348,306/x
  3. Step 3: Cross multiply
    616,084x = 1,348,306 × 1,348,306
  4. Step 4: Simplify right side
    616,084x = 1,817,929,069,636
  5. Step 5: Solve for x
    x = 1,817,929,069,636/616,084
  6. Step 6: Final answer
    x = 2,950,781.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.