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Finding the Third Proportional to 989,748 and 2,119,464

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Solution

The third proportional to 989,748 and 2,119,464 is: 4,538,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,748 : 2,119,464 = 2,119,464 : x
  2. Step 2: Convert to fraction form
    989,748/2,119,464 = 2,119,464/x
  3. Step 3: Cross multiply
    989,748x = 2,119,464 × 2,119,464
  4. Step 4: Simplify right side
    989,748x = 4,492,127,647,296
  5. Step 5: Solve for x
    x = 4,492,127,647,296/989,748
  6. Step 6: Final answer
    x = 4,538,657.97

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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.