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Finding the Third Proportional to 632,437.88 and 1,365,827.06

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Solution

The third proportional to 632,437.88 and 1,365,827.06 is: 2,949,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,437.88 : 1,365,827.06 = 1,365,827.06 : x
  2. Step 2: Convert to fraction form
    632,437.88/1,365,827.06 = 1,365,827.06/x
  3. Step 3: Cross multiply
    632,437.88x = 1,365,827.06 × 1,365,827.06
  4. Step 4: Simplify right side
    632,437.88x = 1,865,483,564,657.38
  5. Step 5: Solve for x
    x = 1,865,483,564,657.38/632,437.88
  6. Step 6: Final answer
    x = 2,949,670.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.