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Finding the Third Proportional to 657,312 and 1,345,772

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Solution

The third proportional to 657,312 and 1,345,772 is: 2,755,316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,312 : 1,345,772 = 1,345,772 : x
  2. Step 2: Convert to fraction form
    657,312/1,345,772 = 1,345,772/x
  3. Step 3: Cross multiply
    657,312x = 1,345,772 × 1,345,772
  4. Step 4: Simplify right side
    657,312x = 1,811,102,275,984
  5. Step 5: Solve for x
    x = 1,811,102,275,984/657,312
  6. Step 6: Final answer
    x = 2,755,316.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.