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Finding the Third Proportional to 4,415,459 and 6,477,871

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Solution

The third proportional to 4,415,459 and 6,477,871 is: 9,503,612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415,459 : 6,477,871 = 6,477,871 : x
  2. Step 2: Convert to fraction form
    4,415,459/6,477,871 = 6,477,871/x
  3. Step 3: Cross multiply
    4,415,459x = 6,477,871 × 6,477,871
  4. Step 4: Simplify right side
    4,415,459x = 41,962,812,692,641
  5. Step 5: Solve for x
    x = 41,962,812,692,641/4,415,459
  6. Step 6: Final answer
    x = 9,503,612.81

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Why These Related Problems?

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