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Finding the Third Proportional to 1,031,924 and 1,563,466

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Solution

The third proportional to 1,031,924 and 1,563,466 is: 2,368,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,924 : 1,563,466 = 1,563,466 : x
  2. Step 2: Convert to fraction form
    1,031,924/1,563,466 = 1,563,466/x
  3. Step 3: Cross multiply
    1,031,924x = 1,563,466 × 1,563,466
  4. Step 4: Simplify right side
    1,031,924x = 2,444,425,933,156
  5. Step 5: Solve for x
    x = 2,444,425,933,156/1,031,924
  6. Step 6: Final answer
    x = 2,368,804.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.