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Finding the Third Proportional to 709,046 and 1,019,278

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Solution

The third proportional to 709,046 and 1,019,278 is: 1,465,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,046 : 1,019,278 = 1,019,278 : x
  2. Step 2: Convert to fraction form
    709,046/1,019,278 = 1,019,278/x
  3. Step 3: Cross multiply
    709,046x = 1,019,278 × 1,019,278
  4. Step 4: Simplify right side
    709,046x = 1,038,927,641,284
  5. Step 5: Solve for x
    x = 1,038,927,641,284/709,046
  6. Step 6: Final answer
    x = 1,465,247.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.