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Finding the Third Proportional to 996,488 and 1,547,230

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Solution

The third proportional to 996,488 and 1,547,230 is: 2,402,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,488 : 1,547,230 = 1,547,230 : x
  2. Step 2: Convert to fraction form
    996,488/1,547,230 = 1,547,230/x
  3. Step 3: Cross multiply
    996,488x = 1,547,230 × 1,547,230
  4. Step 4: Simplify right side
    996,488x = 2,393,920,672,900
  5. Step 5: Solve for x
    x = 2,393,920,672,900/996,488
  6. Step 6: Final answer
    x = 2,402,357.75

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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.