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Finding the Third Proportional to 847,101 and 1,651,641

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Solution

The third proportional to 847,101 and 1,651,641 is: 3,220,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,101 : 1,651,641 = 1,651,641 : x
  2. Step 2: Convert to fraction form
    847,101/1,651,641 = 1,651,641/x
  3. Step 3: Cross multiply
    847,101x = 1,651,641 × 1,651,641
  4. Step 4: Simplify right side
    847,101x = 2,727,917,992,881
  5. Step 5: Solve for x
    x = 2,727,917,992,881/847,101
  6. Step 6: Final answer
    x = 3,220,298.40

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.