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Finding the Third Proportional to 522,153,402 and 783,229,953

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Solution

The third proportional to 522,153,402 and 783,229,953 is: 1,174,844,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,153,402 : 783,229,953 = 783,229,953 : x
  2. Step 2: Convert to fraction form
    522,153,402/783,229,953 = 783,229,953/x
  3. Step 3: Cross multiply
    522,153,402x = 783,229,953 × 783,229,953
  4. Step 4: Simplify right side
    522,153,402x = 613,449,159,276,382,208
  5. Step 5: Solve for x
    x = 613,449,159,276,382,208/522,153,402
  6. Step 6: Final answer
    x = 1,174,844,704.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.