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Finding the Third Proportional to 657,243 and 1,345,590

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Solution

The third proportional to 657,243 and 1,345,590 is: 2,754,860.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,243 : 1,345,590 = 1,345,590 : x
  2. Step 2: Convert to fraction form
    657,243/1,345,590 = 1,345,590/x
  3. Step 3: Cross multiply
    657,243x = 1,345,590 × 1,345,590
  4. Step 4: Simplify right side
    657,243x = 1,810,612,448,100
  5. Step 5: Solve for x
    x = 1,810,612,448,100/657,243
  6. Step 6: Final answer
    x = 2,754,860.00

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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.