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Finding the Third Proportional to 612,169 and 1,298,444

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Solution

The third proportional to 612,169 and 1,298,444 is: 2,754,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,169 : 1,298,444 = 1,298,444 : x
  2. Step 2: Convert to fraction form
    612,169/1,298,444 = 1,298,444/x
  3. Step 3: Cross multiply
    612,169x = 1,298,444 × 1,298,444
  4. Step 4: Simplify right side
    612,169x = 1,685,956,821,136
  5. Step 5: Solve for x
    x = 1,685,956,821,136/612,169
  6. Step 6: Final answer
    x = 2,754,070.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.