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Finding the Third Proportional to 986,418 and 2,155,476

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Solution

The third proportional to 986,418 and 2,155,476 is: 4,710,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,418 : 2,155,476 = 2,155,476 : x
  2. Step 2: Convert to fraction form
    986,418/2,155,476 = 2,155,476/x
  3. Step 3: Cross multiply
    986,418x = 2,155,476 × 2,155,476
  4. Step 4: Simplify right side
    986,418x = 4,646,076,786,576
  5. Step 5: Solve for x
    x = 4,646,076,786,576/986,418
  6. Step 6: Final answer
    x = 4,710,048.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.