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Finding the Third Proportional to 2,698,240 and 5,746,050

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Solution

The third proportional to 2,698,240 and 5,746,050 is: 12,236,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698,240 : 5,746,050 = 5,746,050 : x
  2. Step 2: Convert to fraction form
    2,698,240/5,746,050 = 5,746,050/x
  3. Step 3: Cross multiply
    2,698,240x = 5,746,050 × 5,746,050
  4. Step 4: Simplify right side
    2,698,240x = 33,017,090,602,500
  5. Step 5: Solve for x
    x = 33,017,090,602,500/2,698,240
  6. Step 6: Final answer
    x = 12,236,528.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.