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Finding the Third Proportional to 462,858 and 1,014,492

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Solution

The third proportional to 462,858 and 1,014,492 is: 2,223,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,858 : 1,014,492 = 1,014,492 : x
  2. Step 2: Convert to fraction form
    462,858/1,014,492 = 1,014,492/x
  3. Step 3: Cross multiply
    462,858x = 1,014,492 × 1,014,492
  4. Step 4: Simplify right side
    462,858x = 1,029,194,018,064
  5. Step 5: Solve for x
    x = 1,029,194,018,064/462,858
  6. Step 6: Final answer
    x = 2,223,563.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.