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Finding the Third Proportional to 803,000 and 1,244,100

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Solution

The third proportional to 803,000 and 1,244,100 is: 1,927,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,000 : 1,244,100 = 1,244,100 : x
  2. Step 2: Convert to fraction form
    803,000/1,244,100 = 1,244,100/x
  3. Step 3: Cross multiply
    803,000x = 1,244,100 × 1,244,100
  4. Step 4: Simplify right side
    803,000x = 1,547,784,810,000
  5. Step 5: Solve for x
    x = 1,547,784,810,000/803,000
  6. Step 6: Final answer
    x = 1,927,502.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.