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Finding the Third Proportional to 877,047 and 1,884,639

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Solution

The third proportional to 877,047 and 1,884,639 is: 4,049,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,047 : 1,884,639 = 1,884,639 : x
  2. Step 2: Convert to fraction form
    877,047/1,884,639 = 1,884,639/x
  3. Step 3: Cross multiply
    877,047x = 1,884,639 × 1,884,639
  4. Step 4: Simplify right side
    877,047x = 3,551,864,160,321
  5. Step 5: Solve for x
    x = 3,551,864,160,321/877,047
  6. Step 6: Final answer
    x = 4,049,799.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.