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Finding the Third Proportional to 714,386 and 1,080,763

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Solution

The third proportional to 714,386 and 1,080,763 is: 1,635,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,386 : 1,080,763 = 1,080,763 : x
  2. Step 2: Convert to fraction form
    714,386/1,080,763 = 1,080,763/x
  3. Step 3: Cross multiply
    714,386x = 1,080,763 × 1,080,763
  4. Step 4: Simplify right side
    714,386x = 1,168,048,662,169
  5. Step 5: Solve for x
    x = 1,168,048,662,169/714,386
  6. Step 6: Final answer
    x = 1,635,038.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.