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Finding the Third Proportional to 1,683,297 and 3,586,473

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Solution

The third proportional to 1,683,297 and 3,586,473 is: 7,641,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,297 : 3,586,473 = 3,586,473 : x
  2. Step 2: Convert to fraction form
    1,683,297/3,586,473 = 3,586,473/x
  3. Step 3: Cross multiply
    1,683,297x = 3,586,473 × 3,586,473
  4. Step 4: Simplify right side
    1,683,297x = 12,862,788,579,729
  5. Step 5: Solve for x
    x = 12,862,788,579,729/1,683,297
  6. Step 6: Final answer
    x = 7,641,425.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.