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Finding the Third Proportional to 1,013,071 and 1,563,468

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Solution

The third proportional to 1,013,071 and 1,563,468 is: 2,412,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,071 : 1,563,468 = 1,563,468 : x
  2. Step 2: Convert to fraction form
    1,013,071/1,563,468 = 1,563,468/x
  3. Step 3: Cross multiply
    1,013,071x = 1,563,468 × 1,563,468
  4. Step 4: Simplify right side
    1,013,071x = 2,444,432,187,024
  5. Step 5: Solve for x
    x = 2,444,432,187,024/1,013,071
  6. Step 6: Final answer
    x = 2,412,893.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.