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Finding the Third Proportional to 745,236 and 1,616,498

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Solution

The third proportional to 745,236 and 1,616,498 is: 3,506,360.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,236 : 1,616,498 = 1,616,498 : x
  2. Step 2: Convert to fraction form
    745,236/1,616,498 = 1,616,498/x
  3. Step 3: Cross multiply
    745,236x = 1,616,498 × 1,616,498
  4. Step 4: Simplify right side
    745,236x = 2,613,065,784,004
  5. Step 5: Solve for x
    x = 2,613,065,784,004/745,236
  6. Step 6: Final answer
    x = 3,506,360.11

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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.