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Finding the Third Proportional to 829,340 and 1,249,840

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Solution

The third proportional to 829,340 and 1,249,840 is: 1,883,545.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,340 : 1,249,840 = 1,249,840 : x
  2. Step 2: Convert to fraction form
    829,340/1,249,840 = 1,249,840/x
  3. Step 3: Cross multiply
    829,340x = 1,249,840 × 1,249,840
  4. Step 4: Simplify right side
    829,340x = 1,562,100,025,600
  5. Step 5: Solve for x
    x = 1,562,100,025,600/829,340
  6. Step 6: Final answer
    x = 1,883,545.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.