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Finding the Third Proportional to 432,004,320 and 946,067,904

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Solution

The third proportional to 432,004,320 and 946,067,904 is: 2,071,841,501.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,004,320 : 946,067,904 = 946,067,904 : x
  2. Step 2: Convert to fraction form
    432,004,320/946,067,904 = 946,067,904/x
  3. Step 3: Cross multiply
    432,004,320x = 946,067,904 × 946,067,904
  4. Step 4: Simplify right side
    432,004,320x = 895,044,478,978,953,216
  5. Step 5: Solve for x
    x = 895,044,478,978,953,216/432,004,320
  6. Step 6: Final answer
    x = 2,071,841,501.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.