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Finding the Third Proportional to 989,752 and 2,119,472

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Solution

The third proportional to 989,752 and 2,119,472 is: 4,538,673.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,752 : 2,119,472 = 2,119,472 : x
  2. Step 2: Convert to fraction form
    989,752/2,119,472 = 2,119,472/x
  3. Step 3: Cross multiply
    989,752x = 2,119,472 × 2,119,472
  4. Step 4: Simplify right side
    989,752x = 4,492,161,558,784
  5. Step 5: Solve for x
    x = 4,492,161,558,784/989,752
  6. Step 6: Final answer
    x = 4,538,673.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.