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Finding the Third Proportional to 346,718,122 and 722,134,004

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Solution

The third proportional to 346,718,122 and 722,134,004 is: 1,504,038,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,718,122 : 722,134,004 = 722,134,004 : x
  2. Step 2: Convert to fraction form
    346,718,122/722,134,004 = 722,134,004/x
  3. Step 3: Cross multiply
    346,718,122x = 722,134,004 × 722,134,004
  4. Step 4: Simplify right side
    346,718,122x = 521,477,519,733,072,000
  5. Step 5: Solve for x
    x = 521,477,519,733,072,000/346,718,122
  6. Step 6: Final answer
    x = 1,504,038,833.40

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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.