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Finding the Third Proportional to 537,747 and 1,170,324

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Solution

The third proportional to 537,747 and 1,170,324 is: 2,547,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,747 : 1,170,324 = 1,170,324 : x
  2. Step 2: Convert to fraction form
    537,747/1,170,324 = 1,170,324/x
  3. Step 3: Cross multiply
    537,747x = 1,170,324 × 1,170,324
  4. Step 4: Simplify right side
    537,747x = 1,369,658,264,976
  5. Step 5: Solve for x
    x = 1,369,658,264,976/537,747
  6. Step 6: Final answer
    x = 2,547,030.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.