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Finding the Third Proportional to 346,718,112 and 722,133,984

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Solution

The third proportional to 346,718,112 and 722,133,984 is: 1,504,038,793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,718,112 : 722,133,984 = 722,133,984 : x
  2. Step 2: Convert to fraction form
    346,718,112/722,133,984 = 722,133,984/x
  3. Step 3: Cross multiply
    346,718,112x = 722,133,984 × 722,133,984
  4. Step 4: Simplify right side
    346,718,112x = 521,477,490,847,712,256
  5. Step 5: Solve for x
    x = 521,477,490,847,712,256/346,718,112
  6. Step 6: Final answer
    x = 1,504,038,793.47

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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.