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Finding the Third Proportional to 4,457,166 and 6,696,391

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Solution

The third proportional to 4,457,166 and 6,696,391 is: 10,060,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457,166 : 6,696,391 = 6,696,391 : x
  2. Step 2: Convert to fraction form
    4,457,166/6,696,391 = 6,696,391/x
  3. Step 3: Cross multiply
    4,457,166x = 6,696,391 × 6,696,391
  4. Step 4: Simplify right side
    4,457,166x = 44,841,652,424,881
  5. Step 5: Solve for x
    x = 44,841,652,424,881/4,457,166
  6. Step 6: Final answer
    x = 10,060,574.91

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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.