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Finding the Third Proportional to 685,952 and 1,507,658

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Solution

The third proportional to 685,952 and 1,507,658 is: 3,313,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,952 : 1,507,658 = 1,507,658 : x
  2. Step 2: Convert to fraction form
    685,952/1,507,658 = 1,507,658/x
  3. Step 3: Cross multiply
    685,952x = 1,507,658 × 1,507,658
  4. Step 4: Simplify right side
    685,952x = 2,273,032,644,964
  5. Step 5: Solve for x
    x = 2,273,032,644,964/685,952
  6. Step 6: Final answer
    x = 3,313,690.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.