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Finding the Third Proportional to 2,048,490 and 4,475,331

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Solution

The third proportional to 2,048,490 and 4,475,331 is: 9,777,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,490 : 4,475,331 = 4,475,331 : x
  2. Step 2: Convert to fraction form
    2,048,490/4,475,331 = 4,475,331/x
  3. Step 3: Cross multiply
    2,048,490x = 4,475,331 × 4,475,331
  4. Step 4: Simplify right side
    2,048,490x = 20,028,587,559,561
  5. Step 5: Solve for x
    x = 20,028,587,559,561/2,048,490
  6. Step 6: Final answer
    x = 9,777,244.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.