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Finding the Third Proportional to 719,681 and 1,539,008

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Solution

The third proportional to 719,681 and 1,539,008 is: 3,291,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,681 : 1,539,008 = 1,539,008 : x
  2. Step 2: Convert to fraction form
    719,681/1,539,008 = 1,539,008/x
  3. Step 3: Cross multiply
    719,681x = 1,539,008 × 1,539,008
  4. Step 4: Simplify right side
    719,681x = 2,368,545,624,064
  5. Step 5: Solve for x
    x = 2,368,545,624,064/719,681
  6. Step 6: Final answer
    x = 3,291,104.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.