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Finding the Third Proportional to 1,030,836 and 1,451,646

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Solution

The third proportional to 1,030,836 and 1,451,646 is: 2,044,239.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,836 : 1,451,646 = 1,451,646 : x
  2. Step 2: Convert to fraction form
    1,030,836/1,451,646 = 1,451,646/x
  3. Step 3: Cross multiply
    1,030,836x = 1,451,646 × 1,451,646
  4. Step 4: Simplify right side
    1,030,836x = 2,107,276,109,316
  5. Step 5: Solve for x
    x = 2,107,276,109,316/1,030,836
  6. Step 6: Final answer
    x = 2,044,239.93

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.