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Finding the Third Proportional to 1,295,894 and 2,817,964

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Solution

The third proportional to 1,295,894 and 2,817,964 is: 6,127,755.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,894 : 2,817,964 = 2,817,964 : x
  2. Step 2: Convert to fraction form
    1,295,894/2,817,964 = 2,817,964/x
  3. Step 3: Cross multiply
    1,295,894x = 2,817,964 × 2,817,964
  4. Step 4: Simplify right side
    1,295,894x = 7,940,921,105,296
  5. Step 5: Solve for x
    x = 7,940,921,105,296/1,295,894
  6. Step 6: Final answer
    x = 6,127,755.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.