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Finding the Third Proportional to 996,520 and 1,547,288

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Solution

The third proportional to 996,520 and 1,547,288 is: 2,402,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,520 : 1,547,288 = 1,547,288 : x
  2. Step 2: Convert to fraction form
    996,520/1,547,288 = 1,547,288/x
  3. Step 3: Cross multiply
    996,520x = 1,547,288 × 1,547,288
  4. Step 4: Simplify right side
    996,520x = 2,394,100,154,944
  5. Step 5: Solve for x
    x = 2,394,100,154,944/996,520
  6. Step 6: Final answer
    x = 2,402,460.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.