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Finding the Third Proportional to 997,532.58 and 1,547,760.52

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Solution

The third proportional to 997,532.58 and 1,547,760.52 is: 2,401,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,532.58 : 1,547,760.52 = 1,547,760.52 : x
  2. Step 2: Convert to fraction form
    997,532.58/1,547,760.52 = 1,547,760.52/x
  3. Step 3: Cross multiply
    997,532.58x = 1,547,760.52 × 1,547,760.52
  4. Step 4: Simplify right side
    997,532.58x = 2,395,562,613,727.77
  5. Step 5: Solve for x
    x = 2,395,562,613,727.77/997,532.58
  6. Step 6: Final answer
    x = 2,401,488.10

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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.