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Finding the Third Proportional to 654,968 and 1,011,396

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Solution

The third proportional to 654,968 and 1,011,396 is: 1,561,789.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,968 : 1,011,396 = 1,011,396 : x
  2. Step 2: Convert to fraction form
    654,968/1,011,396 = 1,011,396/x
  3. Step 3: Cross multiply
    654,968x = 1,011,396 × 1,011,396
  4. Step 4: Simplify right side
    654,968x = 1,022,921,868,816
  5. Step 5: Solve for x
    x = 1,022,921,868,816/654,968
  6. Step 6: Final answer
    x = 1,561,789.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.