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Finding the Third Proportional to 1,573,184 and 3,697,952

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Solution

The third proportional to 1,573,184 and 3,697,952 is: 8,692,466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573,184 : 3,697,952 = 3,697,952 : x
  2. Step 2: Convert to fraction form
    1,573,184/3,697,952 = 3,697,952/x
  3. Step 3: Cross multiply
    1,573,184x = 3,697,952 × 3,697,952
  4. Step 4: Simplify right side
    1,573,184x = 13,674,848,994,304
  5. Step 5: Solve for x
    x = 13,674,848,994,304/1,573,184
  6. Step 6: Final answer
    x = 8,692,466.36

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.