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Finding the Third Proportional to 506,981 and 1,113,106

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Solution

The third proportional to 506,981 and 1,113,106 is: 2,443,888.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,981 : 1,113,106 = 1,113,106 : x
  2. Step 2: Convert to fraction form
    506,981/1,113,106 = 1,113,106/x
  3. Step 3: Cross multiply
    506,981x = 1,113,106 × 1,113,106
  4. Step 4: Simplify right side
    506,981x = 1,239,004,967,236
  5. Step 5: Solve for x
    x = 1,239,004,967,236/506,981
  6. Step 6: Final answer
    x = 2,443,888.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.