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Finding the Third Proportional to 1,064,946.38 and 2,292,277.50

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Solution

The third proportional to 1,064,946.38 and 2,292,277.50 is: 4,934,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,946.38 : 2,292,277.50 = 2,292,277.50 : x
  2. Step 2: Convert to fraction form
    1,064,946.38/2,292,277.50 = 2,292,277.50/x
  3. Step 3: Cross multiply
    1,064,946.38x = 2,292,277.50 × 2,292,277.50
  4. Step 4: Simplify right side
    1,064,946.38x = 5,254,536,137,006.25
  5. Step 5: Solve for x
    x = 5,254,536,137,006.25/1,064,946.38
  6. Step 6: Final answer
    x = 4,934,085.19

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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.