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Finding the Third Proportional to 276,907,706 and 590,884,900

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Solution

The third proportional to 276,907,706 and 590,884,900 is: 1,260,871,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,907,706 : 590,884,900 = 590,884,900 : x
  2. Step 2: Convert to fraction form
    276,907,706/590,884,900 = 590,884,900/x
  3. Step 3: Cross multiply
    276,907,706x = 590,884,900 × 590,884,900
  4. Step 4: Simplify right side
    276,907,706x = 349,144,965,048,009,984
  5. Step 5: Solve for x
    x = 349,144,965,048,009,984/276,907,706
  6. Step 6: Final answer
    x = 1,260,871,248.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.