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Finding the Third Proportional to 988,473 and 2,158,194

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Solution

The third proportional to 988,473 and 2,158,194 is: 4,712,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,473 : 2,158,194 = 2,158,194 : x
  2. Step 2: Convert to fraction form
    988,473/2,158,194 = 2,158,194/x
  3. Step 3: Cross multiply
    988,473x = 2,158,194 × 2,158,194
  4. Step 4: Simplify right side
    988,473x = 4,657,801,341,636
  5. Step 5: Solve for x
    x = 4,657,801,341,636/988,473
  6. Step 6: Final answer
    x = 4,712,117.92

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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.