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Finding the Third Proportional to 737,418 and 1,617,348

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Solution

The third proportional to 737,418 and 1,617,348 is: 3,547,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,418 : 1,617,348 = 1,617,348 : x
  2. Step 2: Convert to fraction form
    737,418/1,617,348 = 1,617,348/x
  3. Step 3: Cross multiply
    737,418x = 1,617,348 × 1,617,348
  4. Step 4: Simplify right side
    737,418x = 2,615,814,553,104
  5. Step 5: Solve for x
    x = 2,615,814,553,104/737,418
  6. Step 6: Final answer
    x = 3,547,261.60

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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.