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Finding the Third Proportional to 1,465,416 and 3,088,272

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Solution

The third proportional to 1,465,416 and 3,088,272 is: 6,508,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,416 : 3,088,272 = 3,088,272 : x
  2. Step 2: Convert to fraction form
    1,465,416/3,088,272 = 3,088,272/x
  3. Step 3: Cross multiply
    1,465,416x = 3,088,272 × 3,088,272
  4. Step 4: Simplify right side
    1,465,416x = 9,537,423,945,984
  5. Step 5: Solve for x
    x = 9,537,423,945,984/1,465,416
  6. Step 6: Final answer
    x = 6,508,338.89

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.