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Finding the Third Proportional to 465,952 and 1,019,139

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Solution

The third proportional to 465,952 and 1,019,139 is: 2,229,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,952 : 1,019,139 = 1,019,139 : x
  2. Step 2: Convert to fraction form
    465,952/1,019,139 = 1,019,139/x
  3. Step 3: Cross multiply
    465,952x = 1,019,139 × 1,019,139
  4. Step 4: Simplify right side
    465,952x = 1,038,644,301,321
  5. Step 5: Solve for x
    x = 1,038,644,301,321/465,952
  6. Step 6: Final answer
    x = 2,229,080.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.