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Finding the Third Proportional to 882,998 and 1,366,941

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Solution

The third proportional to 882,998 and 1,366,941 is: 2,116,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,998 : 1,366,941 = 1,366,941 : x
  2. Step 2: Convert to fraction form
    882,998/1,366,941 = 1,366,941/x
  3. Step 3: Cross multiply
    882,998x = 1,366,941 × 1,366,941
  4. Step 4: Simplify right side
    882,998x = 1,868,527,697,481
  5. Step 5: Solve for x
    x = 1,868,527,697,481/882,998
  6. Step 6: Final answer
    x = 2,116,117.70

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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.