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Finding the Third Proportional to 487,178 and 1,062,656

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Solution

The third proportional to 487,178 and 1,062,656 is: 2,317,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,178 : 1,062,656 = 1,062,656 : x
  2. Step 2: Convert to fraction form
    487,178/1,062,656 = 1,062,656/x
  3. Step 3: Cross multiply
    487,178x = 1,062,656 × 1,062,656
  4. Step 4: Simplify right side
    487,178x = 1,129,237,774,336
  5. Step 5: Solve for x
    x = 1,129,237,774,336/487,178
  6. Step 6: Final answer
    x = 2,317,916.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.