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Finding the Third Proportional to 545,701,554 and 838,791,315

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Solution

The third proportional to 545,701,554 and 838,791,315 is: 1,289,296,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,701,554 : 838,791,315 = 838,791,315 : x
  2. Step 2: Convert to fraction form
    545,701,554/838,791,315 = 838,791,315/x
  3. Step 3: Cross multiply
    545,701,554x = 838,791,315 × 838,791,315
  4. Step 4: Simplify right side
    545,701,554x = 703,570,870,119,429,248
  5. Step 5: Solve for x
    x = 703,570,870,119,429,248/545,701,554
  6. Step 6: Final answer
    x = 1,289,296,072.12

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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.