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Finding the Third Proportional to 4,177,924 and 5,637,006

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Solution

The third proportional to 4,177,924 and 5,637,006 is: 7,605,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177,924 : 5,637,006 = 5,637,006 : x
  2. Step 2: Convert to fraction form
    4,177,924/5,637,006 = 5,637,006/x
  3. Step 3: Cross multiply
    4,177,924x = 5,637,006 × 5,637,006
  4. Step 4: Simplify right side
    4,177,924x = 31,775,836,644,036
  5. Step 5: Solve for x
    x = 31,775,836,644,036/4,177,924
  6. Step 6: Final answer
    x = 7,605,652.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.