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Finding the Third Proportional to 1,440,830 and 3,335,261

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Solution

The third proportional to 1,440,830 and 3,335,261 is: 7,720,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440,830 : 3,335,261 = 3,335,261 : x
  2. Step 2: Convert to fraction form
    1,440,830/3,335,261 = 3,335,261/x
  3. Step 3: Cross multiply
    1,440,830x = 3,335,261 × 3,335,261
  4. Step 4: Simplify right side
    1,440,830x = 11,123,965,938,121
  5. Step 5: Solve for x
    x = 11,123,965,938,121/1,440,830
  6. Step 6: Final answer
    x = 7,720,526.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.