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Finding the Third Proportional to 829,737 and 1,281,454

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Solution

The third proportional to 829,737 and 1,281,454 is: 1,979,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,737 : 1,281,454 = 1,281,454 : x
  2. Step 2: Convert to fraction form
    829,737/1,281,454 = 1,281,454/x
  3. Step 3: Cross multiply
    829,737x = 1,281,454 × 1,281,454
  4. Step 4: Simplify right side
    829,737x = 1,642,124,354,116
  5. Step 5: Solve for x
    x = 1,642,124,354,116/829,737
  6. Step 6: Final answer
    x = 1,979,090.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.