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Finding the Third Proportional to 982,490 and 2,148,280

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Solution

The third proportional to 982,490 and 2,148,280 is: 4,697,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,490 : 2,148,280 = 2,148,280 : x
  2. Step 2: Convert to fraction form
    982,490/2,148,280 = 2,148,280/x
  3. Step 3: Cross multiply
    982,490x = 2,148,280 × 2,148,280
  4. Step 4: Simplify right side
    982,490x = 4,615,106,958,400
  5. Step 5: Solve for x
    x = 4,615,106,958,400/982,490
  6. Step 6: Final answer
    x = 4,697,357.69

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Why These Related Problems?

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