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Finding the Third Proportional to 583,235,360 and 820,393,632

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Solution

The third proportional to 583,235,360 and 820,393,632 is: 1,153,986,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,235,360 : 820,393,632 = 820,393,632 : x
  2. Step 2: Convert to fraction form
    583,235,360/820,393,632 = 820,393,632/x
  3. Step 3: Cross multiply
    583,235,360x = 820,393,632 × 820,393,632
  4. Step 4: Simplify right side
    583,235,360x = 673,045,711,426,151,424
  5. Step 5: Solve for x
    x = 673,045,711,426,151,424/583,235,360
  6. Step 6: Final answer
    x = 1,153,986,465.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.