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Finding the Third Proportional to 444,613 and 975,641

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Solution

The third proportional to 444,613 and 975,641 is: 2,140,907.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,613 : 975,641 = 975,641 : x
  2. Step 2: Convert to fraction form
    444,613/975,641 = 975,641/x
  3. Step 3: Cross multiply
    444,613x = 975,641 × 975,641
  4. Step 4: Simplify right side
    444,613x = 951,875,360,881
  5. Step 5: Solve for x
    x = 951,875,360,881/444,613
  6. Step 6: Final answer
    x = 2,140,907.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.