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Finding the Third Proportional to 1,085,676 and 1,596,078

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Solution

The third proportional to 1,085,676 and 1,596,078 is: 2,346,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,676 : 1,596,078 = 1,596,078 : x
  2. Step 2: Convert to fraction form
    1,085,676/1,596,078 = 1,596,078/x
  3. Step 3: Cross multiply
    1,085,676x = 1,596,078 × 1,596,078
  4. Step 4: Simplify right side
    1,085,676x = 2,547,464,982,084
  5. Step 5: Solve for x
    x = 2,547,464,982,084/1,085,676
  6. Step 6: Final answer
    x = 2,346,432.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.