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Finding the Third Proportional to 597,258 and 1,299,488

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Solution

The third proportional to 597,258 and 1,299,488 is: 2,827,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,258 : 1,299,488 = 1,299,488 : x
  2. Step 2: Convert to fraction form
    597,258/1,299,488 = 1,299,488/x
  3. Step 3: Cross multiply
    597,258x = 1,299,488 × 1,299,488
  4. Step 4: Simplify right side
    597,258x = 1,688,669,062,144
  5. Step 5: Solve for x
    x = 1,688,669,062,144/597,258
  6. Step 6: Final answer
    x = 2,827,369.52

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