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Finding the Third Proportional to 5,462,784 and 7,248,960

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Solution

The third proportional to 5,462,784 and 7,248,960 is: 9,619,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462,784 : 7,248,960 = 7,248,960 : x
  2. Step 2: Convert to fraction form
    5,462,784/7,248,960 = 7,248,960/x
  3. Step 3: Cross multiply
    5,462,784x = 7,248,960 × 7,248,960
  4. Step 4: Simplify right side
    5,462,784x = 52,547,421,081,600
  5. Step 5: Solve for x
    x = 52,547,421,081,600/5,462,784
  6. Step 6: Final answer
    x = 9,619,165.08

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.