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Finding the Third Proportional to 592,895,388 and 1,287,855,576

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Solution

The third proportional to 592,895,388 and 1,287,855,576 is: 2,797,410,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,895,388 : 1,287,855,576 = 1,287,855,576 : x
  2. Step 2: Convert to fraction form
    592,895,388/1,287,855,576 = 1,287,855,576/x
  3. Step 3: Cross multiply
    592,895,388x = 1,287,855,576 × 1,287,855,576
  4. Step 4: Simplify right side
    592,895,388x = 1,658,571,984,634,291,712
  5. Step 5: Solve for x
    x = 1,658,571,984,634,291,712/592,895,388
  6. Step 6: Final answer
    x = 2,797,410,838.75

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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.