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Finding the Third Proportional to 668,883 and 1,464,639

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Solution

The third proportional to 668,883 and 1,464,639 is: 3,207,089.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,883 : 1,464,639 = 1,464,639 : x
  2. Step 2: Convert to fraction form
    668,883/1,464,639 = 1,464,639/x
  3. Step 3: Cross multiply
    668,883x = 1,464,639 × 1,464,639
  4. Step 4: Simplify right side
    668,883x = 2,145,167,400,321
  5. Step 5: Solve for x
    x = 2,145,167,400,321/668,883
  6. Step 6: Final answer
    x = 3,207,089.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.