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Finding the Third Proportional to 340,600,806 and 745,683,080

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Solution

The third proportional to 340,600,806 and 745,683,080 is: 1,632,536,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,600,806 : 745,683,080 = 745,683,080 : x
  2. Step 2: Convert to fraction form
    340,600,806/745,683,080 = 745,683,080/x
  3. Step 3: Cross multiply
    340,600,806x = 745,683,080 × 745,683,080
  4. Step 4: Simplify right side
    340,600,806x = 556,043,255,798,286,400
  5. Step 5: Solve for x
    x = 556,043,255,798,286,400/340,600,806
  6. Step 6: Final answer
    x = 1,632,536,523.70

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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.