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Finding the Third Proportional to 684,621 and 1,464,222

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Solution

The third proportional to 684,621 and 1,464,222 is: 3,131,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,621 : 1,464,222 = 1,464,222 : x
  2. Step 2: Convert to fraction form
    684,621/1,464,222 = 1,464,222/x
  3. Step 3: Cross multiply
    684,621x = 1,464,222 × 1,464,222
  4. Step 4: Simplify right side
    684,621x = 2,143,946,065,284
  5. Step 5: Solve for x
    x = 2,143,946,065,284/684,621
  6. Step 6: Final answer
    x = 3,131,580.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.