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Finding the Third Proportional to 745,265 and 1,616,566

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Solution

The third proportional to 745,265 and 1,616,566 is: 3,506,518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,265 : 1,616,566 = 1,616,566 : x
  2. Step 2: Convert to fraction form
    745,265/1,616,566 = 1,616,566/x
  3. Step 3: Cross multiply
    745,265x = 1,616,566 × 1,616,566
  4. Step 4: Simplify right side
    745,265x = 2,613,285,632,356
  5. Step 5: Solve for x
    x = 2,613,285,632,356/745,265
  6. Step 6: Final answer
    x = 3,506,518.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.