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Finding the Third Proportional to 712,768 and 1,551,013

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Solution

The third proportional to 712,768 and 1,551,013 is: 3,375,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,768 : 1,551,013 = 1,551,013 : x
  2. Step 2: Convert to fraction form
    712,768/1,551,013 = 1,551,013/x
  3. Step 3: Cross multiply
    712,768x = 1,551,013 × 1,551,013
  4. Step 4: Simplify right side
    712,768x = 2,405,641,326,169
  5. Step 5: Solve for x
    x = 2,405,641,326,169/712,768
  6. Step 6: Final answer
    x = 3,375,069.20

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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.