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Finding the Third Proportional to 898,461 and 1,946,306

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Solution

The third proportional to 898,461 and 1,946,306 is: 4,216,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,461 : 1,946,306 = 1,946,306 : x
  2. Step 2: Convert to fraction form
    898,461/1,946,306 = 1,946,306/x
  3. Step 3: Cross multiply
    898,461x = 1,946,306 × 1,946,306
  4. Step 4: Simplify right side
    898,461x = 3,788,107,045,636
  5. Step 5: Solve for x
    x = 3,788,107,045,636/898,461
  6. Step 6: Final answer
    x = 4,216,217.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.