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Finding the Third Proportional to 989,102 and 1,541,435

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Solution

The third proportional to 989,102 and 1,541,435 is: 2,402,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,102 : 1,541,435 = 1,541,435 : x
  2. Step 2: Convert to fraction form
    989,102/1,541,435 = 1,541,435/x
  3. Step 3: Cross multiply
    989,102x = 1,541,435 × 1,541,435
  4. Step 4: Simplify right side
    989,102x = 2,376,021,859,225
  5. Step 5: Solve for x
    x = 2,376,021,859,225/989,102
  6. Step 6: Final answer
    x = 2,402,201.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.