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Finding the Third Proportional to 600,064 and 1,416,507

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Solution

The third proportional to 600,064 and 1,416,507 is: 3,343,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,064 : 1,416,507 = 1,416,507 : x
  2. Step 2: Convert to fraction form
    600,064/1,416,507 = 1,416,507/x
  3. Step 3: Cross multiply
    600,064x = 1,416,507 × 1,416,507
  4. Step 4: Simplify right side
    600,064x = 2,006,492,081,049
  5. Step 5: Solve for x
    x = 2,006,492,081,049/600,064
  6. Step 6: Final answer
    x = 3,343,796.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.