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Finding the Third Proportional to 785,446 and 1,696,364

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Solution

The third proportional to 785,446 and 1,696,364 is: 3,663,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,446 : 1,696,364 = 1,696,364 : x
  2. Step 2: Convert to fraction form
    785,446/1,696,364 = 1,696,364/x
  3. Step 3: Cross multiply
    785,446x = 1,696,364 × 1,696,364
  4. Step 4: Simplify right side
    785,446x = 2,877,650,820,496
  5. Step 5: Solve for x
    x = 2,877,650,820,496/785,446
  6. Step 6: Final answer
    x = 3,663,715.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.