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Finding the Third Proportional to 583,528 and 1,266,646

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Solution

The third proportional to 583,528 and 1,266,646 is: 2,749,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,528 : 1,266,646 = 1,266,646 : x
  2. Step 2: Convert to fraction form
    583,528/1,266,646 = 1,266,646/x
  3. Step 3: Cross multiply
    583,528x = 1,266,646 × 1,266,646
  4. Step 4: Simplify right side
    583,528x = 1,604,392,089,316
  5. Step 5: Solve for x
    x = 1,604,392,089,316/583,528
  6. Step 6: Final answer
    x = 2,749,468.90

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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.