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Finding the Third Proportional to 732,567 and 1,570,263

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Solution

The third proportional to 732,567 and 1,570,263 is: 3,365,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,567 : 1,570,263 = 1,570,263 : x
  2. Step 2: Convert to fraction form
    732,567/1,570,263 = 1,570,263/x
  3. Step 3: Cross multiply
    732,567x = 1,570,263 × 1,570,263
  4. Step 4: Simplify right side
    732,567x = 2,465,725,889,169
  5. Step 5: Solve for x
    x = 2,465,725,889,169/732,567
  6. Step 6: Final answer
    x = 3,365,870.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.