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Finding the Third Proportional to 1,706,937 and 3,657,341

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Solution

The third proportional to 1,706,937 and 3,657,341 is: 7,836,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,937 : 3,657,341 = 3,657,341 : x
  2. Step 2: Convert to fraction form
    1,706,937/3,657,341 = 3,657,341/x
  3. Step 3: Cross multiply
    1,706,937x = 3,657,341 × 3,657,341
  4. Step 4: Simplify right side
    1,706,937x = 13,376,143,190,281
  5. Step 5: Solve for x
    x = 13,376,143,190,281/1,706,937
  6. Step 6: Final answer
    x = 7,836,342.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.