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Finding the Third Proportional to 742,275 and 1,626,416

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Solution

The third proportional to 742,275 and 1,626,416 is: 3,563,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,275 : 1,626,416 = 1,626,416 : x
  2. Step 2: Convert to fraction form
    742,275/1,626,416 = 1,626,416/x
  3. Step 3: Cross multiply
    742,275x = 1,626,416 × 1,626,416
  4. Step 4: Simplify right side
    742,275x = 2,645,229,005,056
  5. Step 5: Solve for x
    x = 2,645,229,005,056/742,275
  6. Step 6: Final answer
    x = 3,563,677.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.