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Finding the Third Proportional to 1,033,102 and 2,412,461

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Solution

The third proportional to 1,033,102 and 2,412,461 is: 5,633,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,102 : 2,412,461 = 2,412,461 : x
  2. Step 2: Convert to fraction form
    1,033,102/2,412,461 = 2,412,461/x
  3. Step 3: Cross multiply
    1,033,102x = 2,412,461 × 2,412,461
  4. Step 4: Simplify right side
    1,033,102x = 5,819,968,076,521
  5. Step 5: Solve for x
    x = 5,819,968,076,521/1,033,102
  6. Step 6: Final answer
    x = 5,633,488.35

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.