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Finding the Third Proportional to 732,537 and 1,583,509.50

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Solution

The third proportional to 732,537 and 1,583,509.50 is: 3,423,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,537 : 1,583,509.50 = 1,583,509.50 : x
  2. Step 2: Convert to fraction form
    732,537/1,583,509.50 = 1,583,509.50/x
  3. Step 3: Cross multiply
    732,537x = 1,583,509.50 × 1,583,509.50
  4. Step 4: Simplify right side
    732,537x = 2,507,502,336,590.25
  5. Step 5: Solve for x
    x = 2,507,502,336,590.25/732,537
  6. Step 6: Final answer
    x = 3,423,038.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.