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Finding the Third Proportional to 771,746 and 1,654,240

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Solution

The third proportional to 771,746 and 1,654,240 is: 3,545,868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,746 : 1,654,240 = 1,654,240 : x
  2. Step 2: Convert to fraction form
    771,746/1,654,240 = 1,654,240/x
  3. Step 3: Cross multiply
    771,746x = 1,654,240 × 1,654,240
  4. Step 4: Simplify right side
    771,746x = 2,736,509,977,600
  5. Step 5: Solve for x
    x = 2,736,509,977,600/771,746
  6. Step 6: Final answer
    x = 3,545,868.69

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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.