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Finding the Third Proportional to 710,013 and 1,550,129

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Solution

The third proportional to 710,013 and 1,550,129 is: 3,384,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,013 : 1,550,129 = 1,550,129 : x
  2. Step 2: Convert to fraction form
    710,013/1,550,129 = 1,550,129/x
  3. Step 3: Cross multiply
    710,013x = 1,550,129 × 1,550,129
  4. Step 4: Simplify right side
    710,013x = 2,402,899,916,641
  5. Step 5: Solve for x
    x = 2,402,899,916,641/710,013
  6. Step 6: Final answer
    x = 3,384,304.11

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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.