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Finding the Third Proportional to 555,798,752 and 817,531,824

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Solution

The third proportional to 555,798,752 and 817,531,824 is: 1,202,518,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,798,752 : 817,531,824 = 817,531,824 : x
  2. Step 2: Convert to fraction form
    555,798,752/817,531,824 = 817,531,824/x
  3. Step 3: Cross multiply
    555,798,752x = 817,531,824 × 817,531,824
  4. Step 4: Simplify right side
    555,798,752x = 668,358,283,252,766,976
  5. Step 5: Solve for x
    x = 668,358,283,252,766,976/555,798,752
  6. Step 6: Final answer
    x = 1,202,518,503.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.