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Finding the Third Proportional to 719,862 and 1,575,304

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Solution

The third proportional to 719,862 and 1,575,304 is: 3,447,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,862 : 1,575,304 = 1,575,304 : x
  2. Step 2: Convert to fraction form
    719,862/1,575,304 = 1,575,304/x
  3. Step 3: Cross multiply
    719,862x = 1,575,304 × 1,575,304
  4. Step 4: Simplify right side
    719,862x = 2,481,582,692,416
  5. Step 5: Solve for x
    x = 2,481,582,692,416/719,862
  6. Step 6: Final answer
    x = 3,447,303.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.