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Finding the Third Proportional to 996,924 and 1,566,810

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Solution

The third proportional to 996,924 and 1,566,810 is: 2,462,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,924 : 1,566,810 = 1,566,810 : x
  2. Step 2: Convert to fraction form
    996,924/1,566,810 = 1,566,810/x
  3. Step 3: Cross multiply
    996,924x = 1,566,810 × 1,566,810
  4. Step 4: Simplify right side
    996,924x = 2,454,893,576,100
  5. Step 5: Solve for x
    x = 2,454,893,576,100/996,924
  6. Step 6: Final answer
    x = 2,462,468.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.