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Finding the Third Proportional to 992,107 and 2,153,342

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Solution

The third proportional to 992,107 and 2,153,342 is: 4,673,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,107 : 2,153,342 = 2,153,342 : x
  2. Step 2: Convert to fraction form
    992,107/2,153,342 = 2,153,342/x
  3. Step 3: Cross multiply
    992,107x = 2,153,342 × 2,153,342
  4. Step 4: Simplify right side
    992,107x = 4,636,881,768,964
  5. Step 5: Solve for x
    x = 4,636,881,768,964/992,107
  6. Step 6: Final answer
    x = 4,673,771.85

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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.