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Finding the Third Proportional to 1,082,004 and 1,688,514

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Solution

The third proportional to 1,082,004 and 1,688,514 is: 2,634,999.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,004 : 1,688,514 = 1,688,514 : x
  2. Step 2: Convert to fraction form
    1,082,004/1,688,514 = 1,688,514/x
  3. Step 3: Cross multiply
    1,082,004x = 1,688,514 × 1,688,514
  4. Step 4: Simplify right side
    1,082,004x = 2,851,079,528,196
  5. Step 5: Solve for x
    x = 2,851,079,528,196/1,082,004
  6. Step 6: Final answer
    x = 2,634,999.06

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