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Finding the Third Proportional to 1,030,485 and 2,197,920

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Solution

The third proportional to 1,030,485 and 2,197,920 is: 4,687,940.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,485 : 2,197,920 = 2,197,920 : x
  2. Step 2: Convert to fraction form
    1,030,485/2,197,920 = 2,197,920/x
  3. Step 3: Cross multiply
    1,030,485x = 2,197,920 × 2,197,920
  4. Step 4: Simplify right side
    1,030,485x = 4,830,852,326,400
  5. Step 5: Solve for x
    x = 4,830,852,326,400/1,030,485
  6. Step 6: Final answer
    x = 4,687,940.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.