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Finding the Third Proportional to 3,430,964 and 5,046,640

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Solution

The third proportional to 3,430,964 and 5,046,640 is: 7,423,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430,964 : 5,046,640 = 5,046,640 : x
  2. Step 2: Convert to fraction form
    3,430,964/5,046,640 = 5,046,640/x
  3. Step 3: Cross multiply
    3,430,964x = 5,046,640 × 5,046,640
  4. Step 4: Simplify right side
    3,430,964x = 25,468,575,289,600
  5. Step 5: Solve for x
    x = 25,468,575,289,600/3,430,964
  6. Step 6: Final answer
    x = 7,423,154.33

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.