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Finding the Third Proportional to 675,269.16 and 1,030,054.22

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Solution

The third proportional to 675,269.16 and 1,030,054.22 is: 1,571,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,269.16 : 1,030,054.22 = 1,030,054.22 : x
  2. Step 2: Convert to fraction form
    675,269.16/1,030,054.22 = 1,030,054.22/x
  3. Step 3: Cross multiply
    675,269.16x = 1,030,054.22 × 1,030,054.22
  4. Step 4: Simplify right side
    675,269.16x = 1,061,011,693,564.67
  5. Step 5: Solve for x
    x = 1,061,011,693,564.67/675,269.16
  6. Step 6: Final answer
    x = 1,571,242.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.