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Finding the Third Proportional to 612,368 and 1,329,712

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Solution

The third proportional to 612,368 and 1,329,712 is: 2,887,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,368 : 1,329,712 = 1,329,712 : x
  2. Step 2: Convert to fraction form
    612,368/1,329,712 = 1,329,712/x
  3. Step 3: Cross multiply
    612,368x = 1,329,712 × 1,329,712
  4. Step 4: Simplify right side
    612,368x = 1,768,134,002,944
  5. Step 5: Solve for x
    x = 1,768,134,002,944/612,368
  6. Step 6: Final answer
    x = 2,887,371.65

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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.