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Finding the Third Proportional to 4,138,415 and 6,459,078

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Solution

The third proportional to 4,138,415 and 6,459,078 is: 10,081,079.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138,415 : 6,459,078 = 6,459,078 : x
  2. Step 2: Convert to fraction form
    4,138,415/6,459,078 = 6,459,078/x
  3. Step 3: Cross multiply
    4,138,415x = 6,459,078 × 6,459,078
  4. Step 4: Simplify right side
    4,138,415x = 41,719,688,610,084
  5. Step 5: Solve for x
    x = 41,719,688,610,084/4,138,415
  6. Step 6: Final answer
    x = 10,081,079.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.