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Finding the Third Proportional to 446,946 and 977,448

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Solution

The third proportional to 446,946 and 977,448 is: 2,137,628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,946 : 977,448 = 977,448 : x
  2. Step 2: Convert to fraction form
    446,946/977,448 = 977,448/x
  3. Step 3: Cross multiply
    446,946x = 977,448 × 977,448
  4. Step 4: Simplify right side
    446,946x = 955,404,592,704
  5. Step 5: Solve for x
    x = 955,404,592,704/446,946
  6. Step 6: Final answer
    x = 2,137,628.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.