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Finding the Third Proportional to 545,069,601 and 817,404,210

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Solution

The third proportional to 545,069,601 and 817,404,210 is: 1,225,806,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,069,601 : 817,404,210 = 817,404,210 : x
  2. Step 2: Convert to fraction form
    545,069,601/817,404,210 = 817,404,210/x
  3. Step 3: Cross multiply
    545,069,601x = 817,404,210 × 817,404,210
  4. Step 4: Simplify right side
    545,069,601x = 668,149,642,525,724,160
  5. Step 5: Solve for x
    x = 668,149,642,525,724,160/545,069,601
  6. Step 6: Final answer
    x = 1,225,806,101.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.