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Finding the Third Proportional to 478,712 and 1,037,209

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Solution

The third proportional to 478,712 and 1,037,209 is: 2,247,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,712 : 1,037,209 = 1,037,209 : x
  2. Step 2: Convert to fraction form
    478,712/1,037,209 = 1,037,209/x
  3. Step 3: Cross multiply
    478,712x = 1,037,209 × 1,037,209
  4. Step 4: Simplify right side
    478,712x = 1,075,802,509,681
  5. Step 5: Solve for x
    x = 1,075,802,509,681/478,712
  6. Step 6: Final answer
    x = 2,247,285.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.