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Finding the Third Proportional to 2,143,768 and 4,598,362

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Solution

The third proportional to 2,143,768 and 4,598,362 is: 9,863,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,768 : 4,598,362 = 4,598,362 : x
  2. Step 2: Convert to fraction form
    2,143,768/4,598,362 = 4,598,362/x
  3. Step 3: Cross multiply
    2,143,768x = 4,598,362 × 4,598,362
  4. Step 4: Simplify right side
    2,143,768x = 21,144,933,083,044
  5. Step 5: Solve for x
    x = 21,144,933,083,044/2,143,768
  6. Step 6: Final answer
    x = 9,863,442.82

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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.