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Finding the Third Proportional to 456,445 and 973,953

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Solution

The third proportional to 456,445 and 973,953 is: 2,078,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,445 : 973,953 = 973,953 : x
  2. Step 2: Convert to fraction form
    456,445/973,953 = 973,953/x
  3. Step 3: Cross multiply
    456,445x = 973,953 × 973,953
  4. Step 4: Simplify right side
    456,445x = 948,584,446,209
  5. Step 5: Solve for x
    x = 948,584,446,209/456,445
  6. Step 6: Final answer
    x = 2,078,200.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.