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Finding the Third Proportional to 907,428 and 1,962,600

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Solution

The third proportional to 907,428 and 1,962,600 is: 4,244,743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,428 : 1,962,600 = 1,962,600 : x
  2. Step 2: Convert to fraction form
    907,428/1,962,600 = 1,962,600/x
  3. Step 3: Cross multiply
    907,428x = 1,962,600 × 1,962,600
  4. Step 4: Simplify right side
    907,428x = 3,851,798,760,000
  5. Step 5: Solve for x
    x = 3,851,798,760,000/907,428
  6. Step 6: Final answer
    x = 4,244,743.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.