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Finding the Third Proportional to 714,308 and 1,106,742

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Solution

The third proportional to 714,308 and 1,106,742 is: 1,714,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,308 : 1,106,742 = 1,106,742 : x
  2. Step 2: Convert to fraction form
    714,308/1,106,742 = 1,106,742/x
  3. Step 3: Cross multiply
    714,308x = 1,106,742 × 1,106,742
  4. Step 4: Simplify right side
    714,308x = 1,224,877,854,564
  5. Step 5: Solve for x
    x = 1,224,877,854,564/714,308
  6. Step 6: Final answer
    x = 1,714,775.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.