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Finding the Third Proportional to 653,284 and 1,026,582

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Solution

The third proportional to 653,284 and 1,026,582 is: 1,613,189.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,284 : 1,026,582 = 1,026,582 : x
  2. Step 2: Convert to fraction form
    653,284/1,026,582 = 1,026,582/x
  3. Step 3: Cross multiply
    653,284x = 1,026,582 × 1,026,582
  4. Step 4: Simplify right side
    653,284x = 1,053,870,602,724
  5. Step 5: Solve for x
    x = 1,053,870,602,724/653,284
  6. Step 6: Final answer
    x = 1,613,189.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.