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Finding the Third Proportional to 456,417 and 973,897

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Solution

The third proportional to 456,417 and 973,897 is: 2,078,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,417 : 973,897 = 973,897 : x
  2. Step 2: Convert to fraction form
    456,417/973,897 = 973,897/x
  3. Step 3: Cross multiply
    456,417x = 973,897 × 973,897
  4. Step 4: Simplify right side
    456,417x = 948,475,366,609
  5. Step 5: Solve for x
    x = 948,475,366,609/456,417
  6. Step 6: Final answer
    x = 2,078,089.48

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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.