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Finding the Third Proportional to 765,034 and 1,124,222

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Solution

The third proportional to 765,034 and 1,124,222 is: 1,652,050.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,034 : 1,124,222 = 1,124,222 : x
  2. Step 2: Convert to fraction form
    765,034/1,124,222 = 1,124,222/x
  3. Step 3: Cross multiply
    765,034x = 1,124,222 × 1,124,222
  4. Step 4: Simplify right side
    765,034x = 1,263,875,105,284
  5. Step 5: Solve for x
    x = 1,263,875,105,284/765,034
  6. Step 6: Final answer
    x = 1,652,050.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.