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Finding the Third Proportional to 1,900,657.13 and 4,135,925.25

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Solution

The third proportional to 1,900,657.13 and 4,135,925.25 is: 8,999,980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900,657.13 : 4,135,925.25 = 4,135,925.25 : x
  2. Step 2: Convert to fraction form
    1,900,657.13/4,135,925.25 = 4,135,925.25/x
  3. Step 3: Cross multiply
    1,900,657.13x = 4,135,925.25 × 4,135,925.25
  4. Step 4: Simplify right side
    1,900,657.13x = 17,105,877,673,587.56
  5. Step 5: Solve for x
    x = 17,105,877,673,587.56/1,900,657.13
  6. Step 6: Final answer
    x = 8,999,980.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.