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Finding the Third Proportional to 1,244,412.75 and 2,613,970.50

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Solution

The third proportional to 1,244,412.75 and 2,613,970.50 is: 5,490,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,412.75 : 2,613,970.50 = 2,613,970.50 : x
  2. Step 2: Convert to fraction form
    1,244,412.75/2,613,970.50 = 2,613,970.50/x
  3. Step 3: Cross multiply
    1,244,412.75x = 2,613,970.50 × 2,613,970.50
  4. Step 4: Simplify right side
    1,244,412.75x = 6,832,841,774,870.25
  5. Step 5: Solve for x
    x = 6,832,841,774,870.25/1,244,412.75
  6. Step 6: Final answer
    x = 5,490,816.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.