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Finding the Third Proportional to 593,076,056 and 1,235,240,640

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Solution

The third proportional to 593,076,056 and 1,235,240,640 is: 2,572,721,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,076,056 : 1,235,240,640 = 1,235,240,640 : x
  2. Step 2: Convert to fraction form
    593,076,056/1,235,240,640 = 1,235,240,640/x
  3. Step 3: Cross multiply
    593,076,056x = 1,235,240,640 × 1,235,240,640
  4. Step 4: Simplify right side
    593,076,056x = 1,525,819,438,707,609,600
  5. Step 5: Solve for x
    x = 1,525,819,438,707,609,600/593,076,056
  6. Step 6: Final answer
    x = 2,572,721,362.25

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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.