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Finding the Third Proportional to 808,685,970 and 1,155,633,324

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Solution

The third proportional to 808,685,970 and 1,155,633,324 is: 1,651,430,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,685,970 : 1,155,633,324 = 1,155,633,324 : x
  2. Step 2: Convert to fraction form
    808,685,970/1,155,633,324 = 1,155,633,324/x
  3. Step 3: Cross multiply
    808,685,970x = 1,155,633,324 × 1,155,633,324
  4. Step 4: Simplify right side
    808,685,970x = 1,335,488,379,539,289,088
  5. Step 5: Solve for x
    x = 1,335,488,379,539,289,088/808,685,970
  6. Step 6: Final answer
    x = 1,651,430,133.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.