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Finding the Third Proportional to 340,600,862 and 745,683,160

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Solution

The third proportional to 340,600,862 and 745,683,160 is: 1,632,536,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,600,862 : 745,683,160 = 745,683,160 : x
  2. Step 2: Convert to fraction form
    340,600,862/745,683,160 = 745,683,160/x
  3. Step 3: Cross multiply
    340,600,862x = 745,683,160 × 745,683,160
  4. Step 4: Simplify right side
    340,600,862x = 556,043,375,107,585,600
  5. Step 5: Solve for x
    x = 556,043,375,107,585,600/340,600,862
  6. Step 6: Final answer
    x = 1,632,536,605.58

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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.