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Finding the Third Proportional to 718,771,742 and 1,104,121,323

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Solution

The third proportional to 718,771,742 and 1,104,121,323 is: 1,696,065,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,771,742 : 1,104,121,323 = 1,104,121,323 : x
  2. Step 2: Convert to fraction form
    718,771,742/1,104,121,323 = 1,104,121,323/x
  3. Step 3: Cross multiply
    718,771,742x = 1,104,121,323 × 1,104,121,323
  4. Step 4: Simplify right side
    718,771,742x = 1,219,083,895,903,270,400
  5. Step 5: Solve for x
    x = 1,219,083,895,903,270,400/718,771,742
  6. Step 6: Final answer
    x = 1,696,065,419.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.