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Finding the Third Proportional to 692,810,547 and 1,507,583,659

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Solution

The third proportional to 692,810,547 and 1,507,583,659 is: 3,280,562,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,810,547 : 1,507,583,659 = 1,507,583,659 : x
  2. Step 2: Convert to fraction form
    692,810,547/1,507,583,659 = 1,507,583,659/x
  3. Step 3: Cross multiply
    692,810,547x = 1,507,583,659 × 1,507,583,659
  4. Step 4: Simplify right side
    692,810,547x = 2,272,808,488,883,828,224
  5. Step 5: Solve for x
    x = 2,272,808,488,883,828,224/692,810,547
  6. Step 6: Final answer
    x = 3,280,562,772.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.