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Finding the Third Proportional to 653,829 and 1,410,871

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Solution

The third proportional to 653,829 and 1,410,871 is: 3,044,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,829 : 1,410,871 = 1,410,871 : x
  2. Step 2: Convert to fraction form
    653,829/1,410,871 = 1,410,871/x
  3. Step 3: Cross multiply
    653,829x = 1,410,871 × 1,410,871
  4. Step 4: Simplify right side
    653,829x = 1,990,556,978,641
  5. Step 5: Solve for x
    x = 1,990,556,978,641/653,829
  6. Step 6: Final answer
    x = 3,044,461.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.