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Finding the Third Proportional to 992,098 and 2,153,324

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Solution

The third proportional to 992,098 and 2,153,324 is: 4,673,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,098 : 2,153,324 = 2,153,324 : x
  2. Step 2: Convert to fraction form
    992,098/2,153,324 = 2,153,324/x
  3. Step 3: Cross multiply
    992,098x = 2,153,324 × 2,153,324
  4. Step 4: Simplify right side
    992,098x = 4,636,804,248,976
  5. Step 5: Solve for x
    x = 4,636,804,248,976/992,098
  6. Step 6: Final answer
    x = 4,673,736.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.