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Finding the Third Proportional to 497,306 and 1,073,236

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Solution

The third proportional to 497,306 and 1,073,236 is: 2,316,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,306 : 1,073,236 = 1,073,236 : x
  2. Step 2: Convert to fraction form
    497,306/1,073,236 = 1,073,236/x
  3. Step 3: Cross multiply
    497,306x = 1,073,236 × 1,073,236
  4. Step 4: Simplify right side
    497,306x = 1,151,835,511,696
  5. Step 5: Solve for x
    x = 1,151,835,511,696/497,306
  6. Step 6: Final answer
    x = 2,316,150.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.