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Finding the Third Proportional to 807,202 and 1,216,948

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Solution

The third proportional to 807,202 and 1,216,948 is: 1,834,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,202 : 1,216,948 = 1,216,948 : x
  2. Step 2: Convert to fraction form
    807,202/1,216,948 = 1,216,948/x
  3. Step 3: Cross multiply
    807,202x = 1,216,948 × 1,216,948
  4. Step 4: Simplify right side
    807,202x = 1,480,962,434,704
  5. Step 5: Solve for x
    x = 1,480,962,434,704/807,202
  6. Step 6: Final answer
    x = 1,834,686.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.