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Finding the Third Proportional to 882,768.45 and 1,249,461.15

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Solution

The third proportional to 882,768.45 and 1,249,461.15 is: 1,768,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,768.45 : 1,249,461.15 = 1,249,461.15 : x
  2. Step 2: Convert to fraction form
    882,768.45/1,249,461.15 = 1,249,461.15/x
  3. Step 3: Cross multiply
    882,768.45x = 1,249,461.15 × 1,249,461.15
  4. Step 4: Simplify right side
    882,768.45x = 1,561,153,163,895.20
  5. Step 5: Solve for x
    x = 1,561,153,163,895.20/882,768.45
  6. Step 6: Final answer
    x = 1,768,474.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.