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Finding the Third Proportional to 4,210,096 and 6,516,360

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Solution

The third proportional to 4,210,096 and 6,516,360 is: 10,085,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210,096 : 6,516,360 = 6,516,360 : x
  2. Step 2: Convert to fraction form
    4,210,096/6,516,360 = 6,516,360/x
  3. Step 3: Cross multiply
    4,210,096x = 6,516,360 × 6,516,360
  4. Step 4: Simplify right side
    4,210,096x = 42,462,947,649,600
  5. Step 5: Solve for x
    x = 42,462,947,649,600/4,210,096
  6. Step 6: Final answer
    x = 10,085,980.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.