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Finding the Third Proportional to 460,052,328 and 990,254,865

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Solution

The third proportional to 460,052,328 and 990,254,865 is: 2,131,506,869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,052,328 : 990,254,865 = 990,254,865 : x
  2. Step 2: Convert to fraction form
    460,052,328/990,254,865 = 990,254,865/x
  3. Step 3: Cross multiply
    460,052,328x = 990,254,865 × 990,254,865
  4. Step 4: Simplify right side
    460,052,328x = 980,604,697,656,168,192
  5. Step 5: Solve for x
    x = 980,604,697,656,168,192/460,052,328
  6. Step 6: Final answer
    x = 2,131,506,869.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.