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Finding the Third Proportional to 993,465 and 1,573,796.25

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Solution

The third proportional to 993,465 and 1,573,796.25 is: 2,493,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,465 : 1,573,796.25 = 1,573,796.25 : x
  2. Step 2: Convert to fraction form
    993,465/1,573,796.25 = 1,573,796.25/x
  3. Step 3: Cross multiply
    993,465x = 1,573,796.25 × 1,573,796.25
  4. Step 4: Simplify right side
    993,465x = 2,476,834,636,514.06
  5. Step 5: Solve for x
    x = 2,476,834,636,514.06/993,465
  6. Step 6: Final answer
    x = 2,493,127.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.