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Finding the Third Proportional to 740,295 and 1,607,437

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Solution

The third proportional to 740,295 and 1,607,437 is: 3,490,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,295 : 1,607,437 = 1,607,437 : x
  2. Step 2: Convert to fraction form
    740,295/1,607,437 = 1,607,437/x
  3. Step 3: Cross multiply
    740,295x = 1,607,437 × 1,607,437
  4. Step 4: Simplify right side
    740,295x = 2,583,853,708,969
  5. Step 5: Solve for x
    x = 2,583,853,708,969/740,295
  6. Step 6: Final answer
    x = 3,490,302.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.