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Finding the Third Proportional to 710,020 and 1,550,142

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Solution

The third proportional to 710,020 and 1,550,142 is: 3,384,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,020 : 1,550,142 = 1,550,142 : x
  2. Step 2: Convert to fraction form
    710,020/1,550,142 = 1,550,142/x
  3. Step 3: Cross multiply
    710,020x = 1,550,142 × 1,550,142
  4. Step 4: Simplify right side
    710,020x = 2,402,940,220,164
  5. Step 5: Solve for x
    x = 2,402,940,220,164/710,020
  6. Step 6: Final answer
    x = 3,384,327.51

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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.