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Finding the Third Proportional to 486,710,752 and 742,324,996

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Solution

The third proportional to 486,710,752 and 742,324,996 is: 1,132,184,562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,710,752 : 742,324,996 = 742,324,996 : x
  2. Step 2: Convert to fraction form
    486,710,752/742,324,996 = 742,324,996/x
  3. Step 3: Cross multiply
    486,710,752x = 742,324,996 × 742,324,996
  4. Step 4: Simplify right side
    486,710,752x = 551,046,399,686,400,000
  5. Step 5: Solve for x
    x = 551,046,399,686,400,000/486,710,752
  6. Step 6: Final answer
    x = 1,132,184,562.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.