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Finding the Third Proportional to 849,624 and 1,303,920

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Solution

The third proportional to 849,624 and 1,303,920 is: 2,001,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,624 : 1,303,920 = 1,303,920 : x
  2. Step 2: Convert to fraction form
    849,624/1,303,920 = 1,303,920/x
  3. Step 3: Cross multiply
    849,624x = 1,303,920 × 1,303,920
  4. Step 4: Simplify right side
    849,624x = 1,700,207,366,400
  5. Step 5: Solve for x
    x = 1,700,207,366,400/849,624
  6. Step 6: Final answer
    x = 2,001,129.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.