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Finding the Third Proportional to 1,683,053 and 3,607,222

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Solution

The third proportional to 1,683,053 and 3,607,222 is: 7,731,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,053 : 3,607,222 = 3,607,222 : x
  2. Step 2: Convert to fraction form
    1,683,053/3,607,222 = 3,607,222/x
  3. Step 3: Cross multiply
    1,683,053x = 3,607,222 × 3,607,222
  4. Step 4: Simplify right side
    1,683,053x = 13,012,050,557,284
  5. Step 5: Solve for x
    x = 13,012,050,557,284/1,683,053
  6. Step 6: Final answer
    x = 7,731,218.54

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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.