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Finding the Third Proportional to 1,715,410 and 3,666,894

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Solution

The third proportional to 1,715,410 and 3,666,894 is: 7,838,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715,410 : 3,666,894 = 3,666,894 : x
  2. Step 2: Convert to fraction form
    1,715,410/3,666,894 = 3,666,894/x
  3. Step 3: Cross multiply
    1,715,410x = 3,666,894 × 3,666,894
  4. Step 4: Simplify right side
    1,715,410x = 13,446,111,607,236
  5. Step 5: Solve for x
    x = 13,446,111,607,236/1,715,410
  6. Step 6: Final answer
    x = 7,838,424.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.