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Finding the Third Proportional to 473,613 and 1,014,477

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Solution

The third proportional to 473,613 and 1,014,477 is: 2,173,005.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,613 : 1,014,477 = 1,014,477 : x
  2. Step 2: Convert to fraction form
    473,613/1,014,477 = 1,014,477/x
  3. Step 3: Cross multiply
    473,613x = 1,014,477 × 1,014,477
  4. Step 4: Simplify right side
    473,613x = 1,029,163,583,529
  5. Step 5: Solve for x
    x = 1,029,163,583,529/473,613
  6. Step 6: Final answer
    x = 2,173,005.35

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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.