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Finding the Third Proportional to 610,798 and 1,330,020

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Solution

The third proportional to 610,798 and 1,330,020 is: 2,896,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,798 : 1,330,020 = 1,330,020 : x
  2. Step 2: Convert to fraction form
    610,798/1,330,020 = 1,330,020/x
  3. Step 3: Cross multiply
    610,798x = 1,330,020 × 1,330,020
  4. Step 4: Simplify right side
    610,798x = 1,768,953,200,400
  5. Step 5: Solve for x
    x = 1,768,953,200,400/610,798
  6. Step 6: Final answer
    x = 2,896,134.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.