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Finding the Third Proportional to 1,065,946.08 and 1,640,090.53

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Solution

The third proportional to 1,065,946.08 and 1,640,090.53 is: 2,523,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,946.08 : 1,640,090.53 = 1,640,090.53 : x
  2. Step 2: Convert to fraction form
    1,065,946.08/1,640,090.53 = 1,640,090.53/x
  3. Step 3: Cross multiply
    1,065,946.08x = 1,640,090.53 × 1,640,090.53
  4. Step 4: Simplify right side
    1,065,946.08x = 2,689,896,950,695.91
  5. Step 5: Solve for x
    x = 2,689,896,950,695.91/1,065,946.08
  6. Step 6: Final answer
    x = 2,523,483.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.