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Finding the Third Proportional to 1,082,001.16 and 1,688,509.23

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Solution

The third proportional to 1,082,001.16 and 1,688,509.23 is: 2,634,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,001.16 : 1,688,509.23 = 1,688,509.23 : x
  2. Step 2: Convert to fraction form
    1,082,001.16/1,688,509.23 = 1,688,509.23/x
  3. Step 3: Cross multiply
    1,082,001.16x = 1,688,509.23 × 1,688,509.23
  4. Step 4: Simplify right side
    1,082,001.16x = 2,851,063,421,378.34
  5. Step 5: Solve for x
    x = 2,851,063,421,378.34/1,082,001.16
  6. Step 6: Final answer
    x = 2,634,991.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.