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Finding the Third Proportional to 590,311,608 and 1,291,827,792

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Solution

The third proportional to 590,311,608 and 1,291,827,792 is: 2,827,013,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,311,608 : 1,291,827,792 = 1,291,827,792 : x
  2. Step 2: Convert to fraction form
    590,311,608/1,291,827,792 = 1,291,827,792/x
  3. Step 3: Cross multiply
    590,311,608x = 1,291,827,792 × 1,291,827,792
  4. Step 4: Simplify right side
    590,311,608x = 1,668,819,044,183,595,264
  5. Step 5: Solve for x
    x = 1,668,819,044,183,595,264/590,311,608
  6. Step 6: Final answer
    x = 2,827,013,769.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.