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Finding the Third Proportional to 1,152,946 and 1,642,395

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Solution

The third proportional to 1,152,946 and 1,642,395 is: 2,339,625.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152,946 : 1,642,395 = 1,642,395 : x
  2. Step 2: Convert to fraction form
    1,152,946/1,642,395 = 1,642,395/x
  3. Step 3: Cross multiply
    1,152,946x = 1,642,395 × 1,642,395
  4. Step 4: Simplify right side
    1,152,946x = 2,697,461,336,025
  5. Step 5: Solve for x
    x = 2,697,461,336,025/1,152,946
  6. Step 6: Final answer
    x = 2,339,625.04

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.