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Finding the Third Proportional to 656,588,594 and 1,024,633,803

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Solution

The third proportional to 656,588,594 and 1,024,633,803 is: 1,598,983,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,588,594 : 1,024,633,803 = 1,024,633,803 : x
  2. Step 2: Convert to fraction form
    656,588,594/1,024,633,803 = 1,024,633,803/x
  3. Step 3: Cross multiply
    656,588,594x = 1,024,633,803 × 1,024,633,803
  4. Step 4: Simplify right side
    656,588,594x = 1,049,874,430,250,242,816
  5. Step 5: Solve for x
    x = 1,049,874,430,250,242,816/656,588,594
  6. Step 6: Final answer
    x = 1,598,983,655.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.