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Finding the Third Proportional to 692,632,179 and 1,073,389,169

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Solution

The third proportional to 692,632,179 and 1,073,389,169 is: 1,663,457,666.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,632,179 : 1,073,389,169 = 1,073,389,169 : x
  2. Step 2: Convert to fraction form
    692,632,179/1,073,389,169 = 1,073,389,169/x
  3. Step 3: Cross multiply
    692,632,179x = 1,073,389,169 × 1,073,389,169
  4. Step 4: Simplify right side
    692,632,179x = 1,152,164,308,126,510,592
  5. Step 5: Solve for x
    x = 1,152,164,308,126,510,592/692,632,179
  6. Step 6: Final answer
    x = 1,663,457,666.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.