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Finding the Third Proportional to 449,466 and 973,776

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Solution

The third proportional to 449,466 and 973,776 is: 2,109,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,466 : 973,776 = 973,776 : x
  2. Step 2: Convert to fraction form
    449,466/973,776 = 973,776/x
  3. Step 3: Cross multiply
    449,466x = 973,776 × 973,776
  4. Step 4: Simplify right side
    449,466x = 948,239,698,176
  5. Step 5: Solve for x
    x = 948,239,698,176/449,466
  6. Step 6: Final answer
    x = 2,109,702.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.