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Finding the Third Proportional to 459,656,793 and 644,989,500

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Solution

The third proportional to 459,656,793 and 644,989,500 is: 905,047,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,656,793 : 644,989,500 = 644,989,500 : x
  2. Step 2: Convert to fraction form
    459,656,793/644,989,500 = 644,989,500/x
  3. Step 3: Cross multiply
    459,656,793x = 644,989,500 × 644,989,500
  4. Step 4: Simplify right side
    459,656,793x = 416,011,455,110,249,984
  5. Step 5: Solve for x
    x = 416,011,455,110,249,984/459,656,793
  6. Step 6: Final answer
    x = 905,047,986.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.