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Finding the Third Proportional to 599,428 and 1,254,272

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Solution

The third proportional to 599,428 and 1,254,272 is: 2,624,499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,428 : 1,254,272 = 1,254,272 : x
  2. Step 2: Convert to fraction form
    599,428/1,254,272 = 1,254,272/x
  3. Step 3: Cross multiply
    599,428x = 1,254,272 × 1,254,272
  4. Step 4: Simplify right side
    599,428x = 1,573,198,249,984
  5. Step 5: Solve for x
    x = 1,573,198,249,984/599,428
  6. Step 6: Final answer
    x = 2,624,499.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.