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Finding the Third Proportional to 478,672 and 973,040

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Solution

The third proportional to 478,672 and 973,040 is: 1,977,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,672 : 973,040 = 973,040 : x
  2. Step 2: Convert to fraction form
    478,672/973,040 = 973,040/x
  3. Step 3: Cross multiply
    478,672x = 973,040 × 973,040
  4. Step 4: Simplify right side
    478,672x = 946,806,841,600
  5. Step 5: Solve for x
    x = 946,806,841,600/478,672
  6. Step 6: Final answer
    x = 1,977,986.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.