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Finding the Third Proportional to 803,865 and 1,244,145

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Solution

The third proportional to 803,865 and 1,244,145 is: 1,925,568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,865 : 1,244,145 = 1,244,145 : x
  2. Step 2: Convert to fraction form
    803,865/1,244,145 = 1,244,145/x
  3. Step 3: Cross multiply
    803,865x = 1,244,145 × 1,244,145
  4. Step 4: Simplify right side
    803,865x = 1,547,896,781,025
  5. Step 5: Solve for x
    x = 1,547,896,781,025/803,865
  6. Step 6: Final answer
    x = 1,925,568.08

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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.