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Finding the Third Proportional to 777,746 and 1,609,440

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Solution

The third proportional to 777,746 and 1,609,440 is: 3,330,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,746 : 1,609,440 = 1,609,440 : x
  2. Step 2: Convert to fraction form
    777,746/1,609,440 = 1,609,440/x
  3. Step 3: Cross multiply
    777,746x = 1,609,440 × 1,609,440
  4. Step 4: Simplify right side
    777,746x = 2,590,297,113,600
  5. Step 5: Solve for x
    x = 2,590,297,113,600/777,746
  6. Step 6: Final answer
    x = 3,330,518.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.