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Finding the Third Proportional to 712,924 and 1,484,821

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Solution

The third proportional to 712,924 and 1,484,821 is: 3,092,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,924 : 1,484,821 = 1,484,821 : x
  2. Step 2: Convert to fraction form
    712,924/1,484,821 = 1,484,821/x
  3. Step 3: Cross multiply
    712,924x = 1,484,821 × 1,484,821
  4. Step 4: Simplify right side
    712,924x = 2,204,693,402,041
  5. Step 5: Solve for x
    x = 2,204,693,402,041/712,924
  6. Step 6: Final answer
    x = 3,092,466.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.