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Finding the Third Proportional to 1,010,530.69 and 1,452,583.76

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Solution

The third proportional to 1,010,530.69 and 1,452,583.76 is: 2,088,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,530.69 : 1,452,583.76 = 1,452,583.76 : x
  2. Step 2: Convert to fraction form
    1,010,530.69/1,452,583.76 = 1,452,583.76/x
  3. Step 3: Cross multiply
    1,010,530.69x = 1,452,583.76 × 1,452,583.76
  4. Step 4: Simplify right side
    1,010,530.69x = 2,109,999,573,460.68
  5. Step 5: Solve for x
    x = 2,109,999,573,460.68/1,010,530.69
  6. Step 6: Final answer
    x = 2,088,011.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.