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Finding the Third Proportional to 713,829 and 1,051,006.50

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Solution

The third proportional to 713,829 and 1,051,006.50 is: 1,547,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,829 : 1,051,006.50 = 1,051,006.50 : x
  2. Step 2: Convert to fraction form
    713,829/1,051,006.50 = 1,051,006.50/x
  3. Step 3: Cross multiply
    713,829x = 1,051,006.50 × 1,051,006.50
  4. Step 4: Simplify right side
    713,829x = 1,104,614,663,042.25
  5. Step 5: Solve for x
    x = 1,104,614,663,042.25/713,829
  6. Step 6: Final answer
    x = 1,547,449.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.