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Finding the Third Proportional to 750,005 and 1,642,459

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Solution

The third proportional to 750,005 and 1,642,459 is: 3,596,871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,005 : 1,642,459 = 1,642,459 : x
  2. Step 2: Convert to fraction form
    750,005/1,642,459 = 1,642,459/x
  3. Step 3: Cross multiply
    750,005x = 1,642,459 × 1,642,459
  4. Step 4: Simplify right side
    750,005x = 2,697,671,566,681
  5. Step 5: Solve for x
    x = 2,697,671,566,681/750,005
  6. Step 6: Final answer
    x = 3,596,871.44

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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.