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Finding the Third Proportional to 462,507 and 937,773

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Solution

The third proportional to 462,507 and 937,773 is: 1,901,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,507 : 937,773 = 937,773 : x
  2. Step 2: Convert to fraction form
    462,507/937,773 = 937,773/x
  3. Step 3: Cross multiply
    462,507x = 937,773 × 937,773
  4. Step 4: Simplify right side
    462,507x = 879,418,199,529
  5. Step 5: Solve for x
    x = 879,418,199,529/462,507
  6. Step 6: Final answer
    x = 1,901,415.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.