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Finding the Third Proportional to 977,824 and 2,165,604

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Solution

The third proportional to 977,824 and 2,165,604 is: 4,796,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,824 : 2,165,604 = 2,165,604 : x
  2. Step 2: Convert to fraction form
    977,824/2,165,604 = 2,165,604/x
  3. Step 3: Cross multiply
    977,824x = 2,165,604 × 2,165,604
  4. Step 4: Simplify right side
    977,824x = 4,689,840,684,816
  5. Step 5: Solve for x
    x = 4,689,840,684,816/977,824
  6. Step 6: Final answer
    x = 4,796,201.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.