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Finding the Third Proportional to 1,416,789 and 3,057,465

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Solution

The third proportional to 1,416,789 and 3,057,465 is: 6,598,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,789 : 3,057,465 = 3,057,465 : x
  2. Step 2: Convert to fraction form
    1,416,789/3,057,465 = 3,057,465/x
  3. Step 3: Cross multiply
    1,416,789x = 3,057,465 × 3,057,465
  4. Step 4: Simplify right side
    1,416,789x = 9,348,092,226,225
  5. Step 5: Solve for x
    x = 9,348,092,226,225/1,416,789
  6. Step 6: Final answer
    x = 6,598,083.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.