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Finding the Third Proportional to 432,388,710 and 670,084,002

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Solution

The third proportional to 432,388,710 and 670,084,002 is: 1,038,446,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,388,710 : 670,084,002 = 670,084,002 : x
  2. Step 2: Convert to fraction form
    432,388,710/670,084,002 = 670,084,002/x
  3. Step 3: Cross multiply
    432,388,710x = 670,084,002 × 670,084,002
  4. Step 4: Simplify right side
    432,388,710x = 449,012,569,736,336,000
  5. Step 5: Solve for x
    x = 449,012,569,736,336,000/432,388,710
  6. Step 6: Final answer
    x = 1,038,446,562.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.