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Finding the Third Proportional to 745,284 and 1,616,616

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Solution

The third proportional to 745,284 and 1,616,616 is: 3,506,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,284 : 1,616,616 = 1,616,616 : x
  2. Step 2: Convert to fraction form
    745,284/1,616,616 = 1,616,616/x
  3. Step 3: Cross multiply
    745,284x = 1,616,616 × 1,616,616
  4. Step 4: Simplify right side
    745,284x = 2,613,447,291,456
  5. Step 5: Solve for x
    x = 2,613,447,291,456/745,284
  6. Step 6: Final answer
    x = 3,506,646.18

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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.