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Finding the Third Proportional to 401,074 and 872,707

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Solution

The third proportional to 401,074 and 872,707 is: 1,898,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,074 : 872,707 = 872,707 : x
  2. Step 2: Convert to fraction form
    401,074/872,707 = 872,707/x
  3. Step 3: Cross multiply
    401,074x = 872,707 × 872,707
  4. Step 4: Simplify right side
    401,074x = 761,617,507,849
  5. Step 5: Solve for x
    x = 761,617,507,849/401,074
  6. Step 6: Final answer
    x = 1,898,945.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.