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Finding the Third Proportional to 1,605,840 and 3,462,363

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Solution

The third proportional to 1,605,840 and 3,462,363 is: 7,465,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,840 : 3,462,363 = 3,462,363 : x
  2. Step 2: Convert to fraction form
    1,605,840/3,462,363 = 3,462,363/x
  3. Step 3: Cross multiply
    1,605,840x = 3,462,363 × 3,462,363
  4. Step 4: Simplify right side
    1,605,840x = 11,987,957,543,769
  5. Step 5: Solve for x
    x = 11,987,957,543,769/1,605,840
  6. Step 6: Final answer
    x = 7,465,225.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.