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Finding the Third Proportional to 593,076,006 and 1,235,240,559

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Solution

The third proportional to 593,076,006 and 1,235,240,559 is: 2,572,721,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,076,006 : 1,235,240,559 = 1,235,240,559 : x
  2. Step 2: Convert to fraction form
    593,076,006/1,235,240,559 = 1,235,240,559/x
  3. Step 3: Cross multiply
    593,076,006x = 1,235,240,559 × 1,235,240,559
  4. Step 4: Simplify right side
    593,076,006x = 1,525,819,238,598,632,448
  5. Step 5: Solve for x
    x = 1,525,819,238,598,632,448/593,076,006
  6. Step 6: Final answer
    x = 2,572,721,241.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.