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Finding the Third Proportional to 402,408 and 870,426

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Solution

The third proportional to 402,408 and 870,426 is: 1,882,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,408 : 870,426 = 870,426 : x
  2. Step 2: Convert to fraction form
    402,408/870,426 = 870,426/x
  3. Step 3: Cross multiply
    402,408x = 870,426 × 870,426
  4. Step 4: Simplify right side
    402,408x = 757,641,421,476
  5. Step 5: Solve for x
    x = 757,641,421,476/402,408
  6. Step 6: Final answer
    x = 1,882,769.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.