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Finding the Third Proportional to 745,236 and 1,616,499

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Solution

The third proportional to 745,236 and 1,616,499 is: 3,506,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,236 : 1,616,499 = 1,616,499 : x
  2. Step 2: Convert to fraction form
    745,236/1,616,499 = 1,616,499/x
  3. Step 3: Cross multiply
    745,236x = 1,616,499 × 1,616,499
  4. Step 4: Simplify right side
    745,236x = 2,613,069,017,001
  5. Step 5: Solve for x
    x = 2,613,069,017,001/745,236
  6. Step 6: Final answer
    x = 3,506,364.45

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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.