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Finding the Third Proportional to 592,848 and 1,298,124

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Solution

The third proportional to 592,848 and 1,298,124 is: 2,842,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,848 : 1,298,124 = 1,298,124 : x
  2. Step 2: Convert to fraction form
    592,848/1,298,124 = 1,298,124/x
  3. Step 3: Cross multiply
    592,848x = 1,298,124 × 1,298,124
  4. Step 4: Simplify right side
    592,848x = 1,685,125,919,376
  5. Step 5: Solve for x
    x = 1,685,125,919,376/592,848
  6. Step 6: Final answer
    x = 2,842,424.90

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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.