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Finding the Third Proportional to 1,931,854.50 and 4,195,566

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Solution

The third proportional to 1,931,854.50 and 4,195,566 is: 9,111,852.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,854.50 : 4,195,566 = 4,195,566 : x
  2. Step 2: Convert to fraction form
    1,931,854.50/4,195,566 = 4,195,566/x
  3. Step 3: Cross multiply
    1,931,854.50x = 4,195,566 × 4,195,566
  4. Step 4: Simplify right side
    1,931,854.50x = 17,602,774,060,356
  5. Step 5: Solve for x
    x = 17,602,774,060,356/1,931,854.50
  6. Step 6: Final answer
    x = 9,111,852.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.