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Finding the Third Proportional to 877,464 and 1,326,996

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Solution

The third proportional to 877,464 and 1,326,996 is: 2,006,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,464 : 1,326,996 = 1,326,996 : x
  2. Step 2: Convert to fraction form
    877,464/1,326,996 = 1,326,996/x
  3. Step 3: Cross multiply
    877,464x = 1,326,996 × 1,326,996
  4. Step 4: Simplify right side
    877,464x = 1,760,918,384,016
  5. Step 5: Solve for x
    x = 1,760,918,384,016/877,464
  6. Step 6: Final answer
    x = 2,006,826.93

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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.