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Finding the Third Proportional to 1,806,547.50 and 2,596,639.50

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Solution

The third proportional to 1,806,547.50 and 2,596,639.50 is: 3,732,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806,547.50 : 2,596,639.50 = 2,596,639.50 : x
  2. Step 2: Convert to fraction form
    1,806,547.50/2,596,639.50 = 2,596,639.50/x
  3. Step 3: Cross multiply
    1,806,547.50x = 2,596,639.50 × 2,596,639.50
  4. Step 4: Simplify right side
    1,806,547.50x = 6,742,536,692,960.25
  5. Step 5: Solve for x
    x = 6,742,536,692,960.25/1,806,547.50
  6. Step 6: Final answer
    x = 3,732,277.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.