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Finding the Third Proportional to 453,924 and 977,870

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Solution

The third proportional to 453,924 and 977,870 is: 2,106,585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,924 : 977,870 = 977,870 : x
  2. Step 2: Convert to fraction form
    453,924/977,870 = 977,870/x
  3. Step 3: Cross multiply
    453,924x = 977,870 × 977,870
  4. Step 4: Simplify right side
    453,924x = 956,229,736,900
  5. Step 5: Solve for x
    x = 956,229,736,900/453,924
  6. Step 6: Final answer
    x = 2,106,585.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.