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Finding the Third Proportional to 486,554,810 and 1,007,602,254

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Solution

The third proportional to 486,554,810 and 1,007,602,254 is: 2,086,635,012.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,554,810 : 1,007,602,254 = 1,007,602,254 : x
  2. Step 2: Convert to fraction form
    486,554,810/1,007,602,254 = 1,007,602,254/x
  3. Step 3: Cross multiply
    486,554,810x = 1,007,602,254 × 1,007,602,254
  4. Step 4: Simplify right side
    486,554,810x = 1,015,262,302,265,880,576
  5. Step 5: Solve for x
    x = 1,015,262,302,265,880,576/486,554,810
  6. Step 6: Final answer
    x = 2,086,635,012.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.