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Finding the Third Proportional to 656,217,810 and 959,413,365

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Solution

The third proportional to 656,217,810 and 959,413,365 is: 1,402,695,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,217,810 : 959,413,365 = 959,413,365 : x
  2. Step 2: Convert to fraction form
    656,217,810/959,413,365 = 959,413,365/x
  3. Step 3: Cross multiply
    656,217,810x = 959,413,365 × 959,413,365
  4. Step 4: Simplify right side
    656,217,810x = 920,474,004,940,623,232
  5. Step 5: Solve for x
    x = 920,474,004,940,623,232/656,217,810
  6. Step 6: Final answer
    x = 1,402,695,859.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.