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Finding the Third Proportional to 828,046 and 1,249,937

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Solution

The third proportional to 828,046 and 1,249,937 is: 1,886,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,046 : 1,249,937 = 1,249,937 : x
  2. Step 2: Convert to fraction form
    828,046/1,249,937 = 1,249,937/x
  3. Step 3: Cross multiply
    828,046x = 1,249,937 × 1,249,937
  4. Step 4: Simplify right side
    828,046x = 1,562,342,503,969
  5. Step 5: Solve for x
    x = 1,562,342,503,969/828,046
  6. Step 6: Final answer
    x = 1,886,782.26

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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.