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Finding the Third Proportional to 785,936 and 1,697,440

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Solution

The third proportional to 785,936 and 1,697,440 is: 3,666,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,936 : 1,697,440 = 1,697,440 : x
  2. Step 2: Convert to fraction form
    785,936/1,697,440 = 1,697,440/x
  3. Step 3: Cross multiply
    785,936x = 1,697,440 × 1,697,440
  4. Step 4: Simplify right side
    785,936x = 2,881,302,553,600
  5. Step 5: Solve for x
    x = 2,881,302,553,600/785,936
  6. Step 6: Final answer
    x = 3,666,077.84

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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.