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Finding the Third Proportional to 1,685,160 and 3,607,488

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Solution

The third proportional to 1,685,160 and 3,607,488 is: 7,722,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,160 : 3,607,488 = 3,607,488 : x
  2. Step 2: Convert to fraction form
    1,685,160/3,607,488 = 3,607,488/x
  3. Step 3: Cross multiply
    1,685,160x = 3,607,488 × 3,607,488
  4. Step 4: Simplify right side
    1,685,160x = 13,013,969,670,144
  5. Step 5: Solve for x
    x = 13,013,969,670,144/1,685,160
  6. Step 6: Final answer
    x = 7,722,690.82

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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.