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Finding the Third Proportional to 704,961,984 and 1,527,040,896

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Solution

The third proportional to 704,961,984 and 1,527,040,896 is: 3,307,772,548.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,961,984 : 1,527,040,896 = 1,527,040,896 : x
  2. Step 2: Convert to fraction form
    704,961,984/1,527,040,896 = 1,527,040,896/x
  3. Step 3: Cross multiply
    704,961,984x = 1,527,040,896 × 1,527,040,896
  4. Step 4: Simplify right side
    704,961,984x = 2,331,853,898,056,482,816
  5. Step 5: Solve for x
    x = 2,331,853,898,056,482,816/704,961,984
  6. Step 6: Final answer
    x = 3,307,772,548.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.