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Finding the Third Proportional to 684,962 and 1,486,646

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Solution

The third proportional to 684,962 and 1,486,646 is: 3,226,626.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,962 : 1,486,646 = 1,486,646 : x
  2. Step 2: Convert to fraction form
    684,962/1,486,646 = 1,486,646/x
  3. Step 3: Cross multiply
    684,962x = 1,486,646 × 1,486,646
  4. Step 4: Simplify right side
    684,962x = 2,210,116,329,316
  5. Step 5: Solve for x
    x = 2,210,116,329,316/684,962
  6. Step 6: Final answer
    x = 3,226,626.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.