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Finding the Third Proportional to 417,952 and 986,464

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Solution

The third proportional to 417,952 and 986,464 is: 2,328,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,952 : 986,464 = 986,464 : x
  2. Step 2: Convert to fraction form
    417,952/986,464 = 986,464/x
  3. Step 3: Cross multiply
    417,952x = 986,464 × 986,464
  4. Step 4: Simplify right side
    417,952x = 973,111,223,296
  5. Step 5: Solve for x
    x = 973,111,223,296/417,952
  6. Step 6: Final answer
    x = 2,328,284.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.