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Finding the Third Proportional to 898,032 and 1,920,588

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Solution

The third proportional to 898,032 and 1,920,588 is: 4,107,490.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,032 : 1,920,588 = 1,920,588 : x
  2. Step 2: Convert to fraction form
    898,032/1,920,588 = 1,920,588/x
  3. Step 3: Cross multiply
    898,032x = 1,920,588 × 1,920,588
  4. Step 4: Simplify right side
    898,032x = 3,688,658,265,744
  5. Step 5: Solve for x
    x = 3,688,658,265,744/898,032
  6. Step 6: Final answer
    x = 4,107,490.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.