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Finding the Third Proportional to 606,463,650 and 931,602,348

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Solution

The third proportional to 606,463,650 and 931,602,348 is: 1,431,055,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,463,650 : 931,602,348 = 931,602,348 : x
  2. Step 2: Convert to fraction form
    606,463,650/931,602,348 = 931,602,348/x
  3. Step 3: Cross multiply
    606,463,650x = 931,602,348 × 931,602,348
  4. Step 4: Simplify right side
    606,463,650x = 867,882,934,799,113,088
  5. Step 5: Solve for x
    x = 867,882,934,799,113,088/606,463,650
  6. Step 6: Final answer
    x = 1,431,055,158.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.