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Finding the Third Proportional to 710,023 and 1,550,150

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Solution

The third proportional to 710,023 and 1,550,150 is: 3,384,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,023 : 1,550,150 = 1,550,150 : x
  2. Step 2: Convert to fraction form
    710,023/1,550,150 = 1,550,150/x
  3. Step 3: Cross multiply
    710,023x = 1,550,150 × 1,550,150
  4. Step 4: Simplify right side
    710,023x = 2,402,965,022,500
  5. Step 5: Solve for x
    x = 2,402,965,022,500/710,023
  6. Step 6: Final answer
    x = 3,384,348.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.