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Finding the Third Proportional to 523,626,210 and 780,898,468

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Solution

The third proportional to 523,626,210 and 780,898,468 is: 1,164,575,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,626,210 : 780,898,468 = 780,898,468 : x
  2. Step 2: Convert to fraction form
    523,626,210/780,898,468 = 780,898,468/x
  3. Step 3: Cross multiply
    523,626,210x = 780,898,468 × 780,898,468
  4. Step 4: Simplify right side
    523,626,210x = 609,802,417,324,747,008
  5. Step 5: Solve for x
    x = 609,802,417,324,747,008/523,626,210
  6. Step 6: Final answer
    x = 1,164,575,809.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.