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Finding the Third Proportional to 500,580 and 1,036,648.13

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Solution

The third proportional to 500,580 and 1,036,648.13 is: 2,146,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,580 : 1,036,648.13 = 1,036,648.13 : x
  2. Step 2: Convert to fraction form
    500,580/1,036,648.13 = 1,036,648.13/x
  3. Step 3: Cross multiply
    500,580x = 1,036,648.13 × 1,036,648.13
  4. Step 4: Simplify right side
    500,580x = 1,074,639,335,066.02
  5. Step 5: Solve for x
    x = 1,074,639,335,066.02/500,580
  6. Step 6: Final answer
    x = 2,146,788.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.