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Finding the Third Proportional to 1,834,547.06 and 4,316,576.06

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Solution

The third proportional to 1,834,547.06 and 4,316,576.06 is: 10,156,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,547.06 : 4,316,576.06 = 4,316,576.06 : x
  2. Step 2: Convert to fraction form
    1,834,547.06/4,316,576.06 = 4,316,576.06/x
  3. Step 3: Cross multiply
    1,834,547.06x = 4,316,576.06 × 4,316,576.06
  4. Step 4: Simplify right side
    1,834,547.06x = 18,632,828,903,348.00
  5. Step 5: Solve for x
    x = 18,632,828,903,348.00/1,834,547.06
  6. Step 6: Final answer
    x = 10,156,637.18

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.