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Finding the Third Proportional to 2,506,754 and 5,146,240

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Solution

The third proportional to 2,506,754 and 5,146,240 is: 10,564,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506,754 : 5,146,240 = 5,146,240 : x
  2. Step 2: Convert to fraction form
    2,506,754/5,146,240 = 5,146,240/x
  3. Step 3: Cross multiply
    2,506,754x = 5,146,240 × 5,146,240
  4. Step 4: Simplify right side
    2,506,754x = 26,483,786,137,600
  5. Step 5: Solve for x
    x = 26,483,786,137,600/2,506,754
  6. Step 6: Final answer
    x = 10,564,972.13

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.