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Finding the Third Proportional to 545,797,748 and 891,144,174

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Solution

The third proportional to 545,797,748 and 891,144,174 is: 1,455,004,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,797,748 : 891,144,174 = 891,144,174 : x
  2. Step 2: Convert to fraction form
    545,797,748/891,144,174 = 891,144,174/x
  3. Step 3: Cross multiply
    545,797,748x = 891,144,174 × 891,144,174
  4. Step 4: Simplify right side
    545,797,748x = 794,137,938,854,142,336
  5. Step 5: Solve for x
    x = 794,137,938,854,142,336/545,797,748
  6. Step 6: Final answer
    x = 1,455,004,059.22

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.