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Finding the Third Proportional to 657,984 and 991,841

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Solution

The third proportional to 657,984 and 991,841 is: 1,495,094.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,984 : 991,841 = 991,841 : x
  2. Step 2: Convert to fraction form
    657,984/991,841 = 991,841/x
  3. Step 3: Cross multiply
    657,984x = 991,841 × 991,841
  4. Step 4: Simplify right side
    657,984x = 983,748,569,281
  5. Step 5: Solve for x
    x = 983,748,569,281/657,984
  6. Step 6: Final answer
    x = 1,495,094.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.